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Finding the Fourth Proportional to 686.72, 946.59 and 520.26

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Solution

The fourth proportional to 686.72, 946.59 and 520.26 is: 717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.72 : 946.59 = 520.26 : x
  2. Step 2: Convert to fraction form
    686.72/946.59 = 520.26/x
  3. Step 3: Cross multiply
    686.72x = 946.59 × 520.26
  4. Step 4: Simplify right side
    686.72x = 492,472.91
  5. Step 5: Solve for x
    x = 492,472.91/686.72
  6. Step 6: Final answer
    x = 717.14

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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.