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Finding the Fourth Proportional to 460.17, 686.58 and 399.42

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Solution

The fourth proportional to 460.17, 686.58 and 399.42 is: 595.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.17 : 686.58 = 399.42 : x
  2. Step 2: Convert to fraction form
    460.17/686.58 = 399.42/x
  3. Step 3: Cross multiply
    460.17x = 686.58 × 399.42
  4. Step 4: Simplify right side
    460.17x = 274,233.78
  5. Step 5: Solve for x
    x = 274,233.78/460.17
  6. Step 6: Final answer
    x = 595.94

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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.