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Finding the Fourth Proportional to 460.04, 686.70 and 426.20

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Solution

The fourth proportional to 460.04, 686.70 and 426.20 is: 636.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.04 : 686.70 = 426.20 : x
  2. Step 2: Convert to fraction form
    460.04/686.70 = 426.20/x
  3. Step 3: Cross multiply
    460.04x = 686.70 × 426.20
  4. Step 4: Simplify right side
    460.04x = 292,668.11
  5. Step 5: Solve for x
    x = 292,668.11/460.04
  6. Step 6: Final answer
    x = 636.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.