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Finding the Fourth Proportional to 540.80, 747.16 and 514.16

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Solution

The fourth proportional to 540.80, 747.16 and 514.16 is: 710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.80 : 747.16 = 514.16 : x
  2. Step 2: Convert to fraction form
    540.80/747.16 = 514.16/x
  3. Step 3: Cross multiply
    540.80x = 747.16 × 514.16
  4. Step 4: Simplify right side
    540.80x = 384,159.79
  5. Step 5: Solve for x
    x = 384,159.79/540.80
  6. Step 6: Final answer
    x = 710.35

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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.