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Finding the Fourth Proportional to 686.70, 946.55 and 539.08

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Solution

The fourth proportional to 686.70, 946.55 and 539.08 is: 743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.70 : 946.55 = 539.08 : x
  2. Step 2: Convert to fraction form
    686.70/946.55 = 539.08/x
  3. Step 3: Cross multiply
    686.70x = 946.55 × 539.08
  4. Step 4: Simplify right side
    686.70x = 510,265.16
  5. Step 5: Solve for x
    x = 510,265.16/686.70
  6. Step 6: Final answer
    x = 743.07

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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.