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Finding the Fourth Proportional to 514.88, 710.53 and 307.88

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Solution

The fourth proportional to 514.88, 710.53 and 307.88 is: 424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.88 : 710.53 = 307.88 : x
  2. Step 2: Convert to fraction form
    514.88/710.53 = 307.88/x
  3. Step 3: Cross multiply
    514.88x = 710.53 × 307.88
  4. Step 4: Simplify right side
    514.88x = 218,753.65
  5. Step 5: Solve for x
    x = 218,753.65/514.88
  6. Step 6: Final answer
    x = 424.87

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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.