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Finding the Fourth Proportional to 649.72, 974.58 and 325.09

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Solution

The fourth proportional to 649.72, 974.58 and 325.09 is: 487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.72 : 974.58 = 325.09 : x
  2. Step 2: Convert to fraction form
    649.72/974.58 = 325.09/x
  3. Step 3: Cross multiply
    649.72x = 974.58 × 325.09
  4. Step 4: Simplify right side
    649.72x = 316,826.21
  5. Step 5: Solve for x
    x = 316,826.21/649.72
  6. Step 6: Final answer
    x = 487.64

Related Problems

Find fourth proportional to 324.86, 487.29 and 162.55
Half scale
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Double scale
Find fourth proportional to 650.72, 976.08 and 326.09
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.