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Finding the Fourth Proportional to 974.38, 1,461.48 and 325.03

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Solution

The fourth proportional to 974.38, 1,461.48 and 325.03 is: 487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.38 : 1,461.48 = 325.03 : x
  2. Step 2: Convert to fraction form
    974.38/1,461.48 = 325.03/x
  3. Step 3: Cross multiply
    974.38x = 1,461.48 × 325.03
  4. Step 4: Simplify right side
    974.38x = 475,024.84
  5. Step 5: Solve for x
    x = 475,024.84/974.38
  6. Step 6: Final answer
    x = 487.51

Related Problems

Find fourth proportional to 487.19, 730.74 and 162.52
Half scale
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Double scale
Find fourth proportional to 975.38, 1,462.98 and 326.03
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.