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Finding the Fourth Proportional to 455.34, 686.52 and 424.02

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Solution

The fourth proportional to 455.34, 686.52 and 424.02 is: 639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.34 : 686.52 = 424.02 : x
  2. Step 2: Convert to fraction form
    455.34/686.52 = 424.02/x
  3. Step 3: Cross multiply
    455.34x = 686.52 × 424.02
  4. Step 4: Simplify right side
    455.34x = 291,098.21
  5. Step 5: Solve for x
    x = 291,098.21/455.34
  6. Step 6: Final answer
    x = 639.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.