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Finding the Fourth Proportional to 531.16, 730.16 and 474.54

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Solution

The fourth proportional to 531.16, 730.16 and 474.54 is: 652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.16 : 730.16 = 474.54 : x
  2. Step 2: Convert to fraction form
    531.16/730.16 = 474.54/x
  3. Step 3: Cross multiply
    531.16x = 730.16 × 474.54
  4. Step 4: Simplify right side
    531.16x = 346,489.57
  5. Step 5: Solve for x
    x = 346,489.57/531.16
  6. Step 6: Final answer
    x = 652.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.