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Finding the Fourth Proportional to 686.59, 947.13 and 520.53

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Solution

The fourth proportional to 686.59, 947.13 and 520.53 is: 718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.59 : 947.13 = 520.53 : x
  2. Step 2: Convert to fraction form
    686.59/947.13 = 520.53/x
  3. Step 3: Cross multiply
    686.59x = 947.13 × 520.53
  4. Step 4: Simplify right side
    686.59x = 493,004.08
  5. Step 5: Solve for x
    x = 493,004.08/686.59
  6. Step 6: Final answer
    x = 718.05

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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.