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Finding the Fourth Proportional to 686.14, 946.98 and 424.30

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Solution

The fourth proportional to 686.14, 946.98 and 424.30 is: 585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.14 : 946.98 = 424.30 : x
  2. Step 2: Convert to fraction form
    686.14/946.98 = 424.30/x
  3. Step 3: Cross multiply
    686.14x = 946.98 × 424.30
  4. Step 4: Simplify right side
    686.14x = 401,803.61
  5. Step 5: Solve for x
    x = 401,803.61/686.14
  6. Step 6: Final answer
    x = 585.60

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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.