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Finding the Fourth Proportional to 531.08, 731.16 and 419.96

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Solution

The fourth proportional to 531.08, 731.16 and 419.96 is: 578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.08 : 731.16 = 419.96 : x
  2. Step 2: Convert to fraction form
    531.08/731.16 = 419.96/x
  3. Step 3: Cross multiply
    531.08x = 731.16 × 419.96
  4. Step 4: Simplify right side
    531.08x = 307,057.95
  5. Step 5: Solve for x
    x = 307,057.95/531.08
  6. Step 6: Final answer
    x = 578.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.