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Finding the Fourth Proportional to 686.72, 946.68 and 424.28

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Solution

The fourth proportional to 686.72, 946.68 and 424.28 is: 584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.72 : 946.68 = 424.28 : x
  2. Step 2: Convert to fraction form
    686.72/946.68 = 424.28/x
  3. Step 3: Cross multiply
    686.72x = 946.68 × 424.28
  4. Step 4: Simplify right side
    686.72x = 401,657.39
  5. Step 5: Solve for x
    x = 401,657.39/686.72
  6. Step 6: Final answer
    x = 584.89

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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.