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Finding the Fourth Proportional to 686.63, 946.96 and 424.19

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Solution

The fourth proportional to 686.63, 946.96 and 424.19 is: 585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.63 : 946.96 = 424.19 : x
  2. Step 2: Convert to fraction form
    686.63/946.96 = 424.19/x
  3. Step 3: Cross multiply
    686.63x = 946.96 × 424.19
  4. Step 4: Simplify right side
    686.63x = 401,685.17
  5. Step 5: Solve for x
    x = 401,685.17/686.63
  6. Step 6: Final answer
    x = 585.01

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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.