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Finding the Fourth Proportional to 460.78, 691.43 and 457.34

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Solution

The fourth proportional to 460.78, 691.43 and 457.34 is: 686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.78 : 691.43 = 457.34 : x
  2. Step 2: Convert to fraction form
    460.78/691.43 = 457.34/x
  3. Step 3: Cross multiply
    460.78x = 691.43 × 457.34
  4. Step 4: Simplify right side
    460.78x = 316,215.45
  5. Step 5: Solve for x
    x = 316,215.45/460.78
  6. Step 6: Final answer
    x = 686.26

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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.