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Finding the Fourth Proportional to 617.02, 929.12 and 455.83

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Solution

The fourth proportional to 617.02, 929.12 and 455.83 is: 686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.02 : 929.12 = 455.83 : x
  2. Step 2: Convert to fraction form
    617.02/929.12 = 455.83/x
  3. Step 3: Cross multiply
    617.02x = 929.12 × 455.83
  4. Step 4: Simplify right side
    617.02x = 423,520.77
  5. Step 5: Solve for x
    x = 423,520.77/617.02
  6. Step 6: Final answer
    x = 686.40

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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.