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Finding the Fourth Proportional to 686.31, 947.19 and 500.42

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Solution

The fourth proportional to 686.31, 947.19 and 500.42 is: 690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.31 : 947.19 = 500.42 : x
  2. Step 2: Convert to fraction form
    686.31/947.19 = 500.42/x
  3. Step 3: Cross multiply
    686.31x = 947.19 × 500.42
  4. Step 4: Simplify right side
    686.31x = 473,988.08
  5. Step 5: Solve for x
    x = 473,988.08/686.31
  6. Step 6: Final answer
    x = 690.63

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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.