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Finding the Fourth Proportional to 686.78, 947.93 and 424.64

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Solution

The fourth proportional to 686.78, 947.93 and 424.64 is: 586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.78 : 947.93 = 424.64 : x
  2. Step 2: Convert to fraction form
    686.78/947.93 = 424.64/x
  3. Step 3: Cross multiply
    686.78x = 947.93 × 424.64
  4. Step 4: Simplify right side
    686.78x = 402,522.13
  5. Step 5: Solve for x
    x = 402,522.13/686.78
  6. Step 6: Final answer
    x = 586.10

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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.