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Finding the Fourth Proportional to 602.46, 903.08 and 457.88

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Solution

The fourth proportional to 602.46, 903.08 and 457.88 is: 686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.46 : 903.08 = 457.88 : x
  2. Step 2: Convert to fraction form
    602.46/903.08 = 457.88/x
  3. Step 3: Cross multiply
    602.46x = 903.08 × 457.88
  4. Step 4: Simplify right side
    602.46x = 413,498.90
  5. Step 5: Solve for x
    x = 413,498.90/602.46
  6. Step 6: Final answer
    x = 686.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.