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Finding the Fourth Proportional to 514.73, 710.31 and 315.49

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Solution

The fourth proportional to 514.73, 710.31 and 315.49 is: 435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.73 : 710.31 = 315.49 : x
  2. Step 2: Convert to fraction form
    514.73/710.31 = 315.49/x
  3. Step 3: Cross multiply
    514.73x = 710.31 × 315.49
  4. Step 4: Simplify right side
    514.73x = 224,090.57
  5. Step 5: Solve for x
    x = 224,090.57/514.73
  6. Step 6: Final answer
    x = 435.36

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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.