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Finding the Fourth Proportional to 686.52, 947.49 and 520.47

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Solution

The fourth proportional to 686.52, 947.49 and 520.47 is: 718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.52 : 947.49 = 520.47 : x
  2. Step 2: Convert to fraction form
    686.52/947.49 = 520.47/x
  3. Step 3: Cross multiply
    686.52x = 947.49 × 520.47
  4. Step 4: Simplify right side
    686.52x = 493,140.12
  5. Step 5: Solve for x
    x = 493,140.12/686.52
  6. Step 6: Final answer
    x = 718.32

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1.5x scale

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.