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Finding the Fourth Proportional to 974.90, 1,462.50 and 325.48

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Solution

The fourth proportional to 974.90, 1,462.50 and 325.48 is: 488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.90 : 1,462.50 = 325.48 : x
  2. Step 2: Convert to fraction form
    974.90/1,462.50 = 325.48/x
  3. Step 3: Cross multiply
    974.90x = 1,462.50 × 325.48
  4. Step 4: Simplify right side
    974.90x = 476,012.87
  5. Step 5: Solve for x
    x = 476,012.87/974.90
  6. Step 6: Final answer
    x = 488.27

Related Problems

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Half scale
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Double scale
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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.