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Finding the Fourth Proportional to 514.57, 767.89 and 459.89

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Solution

The fourth proportional to 514.57, 767.89 and 459.89 is: 686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.57 : 767.89 = 459.89 : x
  2. Step 2: Convert to fraction form
    514.57/767.89 = 459.89/x
  3. Step 3: Cross multiply
    514.57x = 767.89 × 459.89
  4. Step 4: Simplify right side
    514.57x = 353,144.93
  5. Step 5: Solve for x
    x = 353,144.93/514.57
  6. Step 6: Final answer
    x = 686.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.