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Finding the Fourth Proportional to 686.67, 947.25 and 424.50

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Solution

The fourth proportional to 686.67, 947.25 and 424.50 is: 585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.67 : 947.25 = 424.50 : x
  2. Step 2: Convert to fraction form
    686.67/947.25 = 424.50/x
  3. Step 3: Cross multiply
    686.67x = 947.25 × 424.50
  4. Step 4: Simplify right side
    686.67x = 402,107.63
  5. Step 5: Solve for x
    x = 402,107.63/686.67
  6. Step 6: Final answer
    x = 585.59

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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.