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Finding the Fourth Proportional to 531.01, 795.42 and 314.47

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Solution

The fourth proportional to 531.01, 795.42 and 314.47 is: 471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.01 : 795.42 = 314.47 : x
  2. Step 2: Convert to fraction form
    531.01/795.42 = 314.47/x
  3. Step 3: Cross multiply
    531.01x = 795.42 × 314.47
  4. Step 4: Simplify right side
    531.01x = 250,135.73
  5. Step 5: Solve for x
    x = 250,135.73/531.01
  6. Step 6: Final answer
    x = 471.06

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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.