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Finding the Fourth Proportional to 686.85, 947.52 and 500.25

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Solution

The fourth proportional to 686.85, 947.52 and 500.25 is: 690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.85 : 947.52 = 500.25 : x
  2. Step 2: Convert to fraction form
    686.85/947.52 = 500.25/x
  3. Step 3: Cross multiply
    686.85x = 947.52 × 500.25
  4. Step 4: Simplify right side
    686.85x = 473,996.88
  5. Step 5: Solve for x
    x = 473,996.88/686.85
  6. Step 6: Final answer
    x = 690.10

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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.