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Finding the Fourth Proportional to 456.18, 679.53 and 431.34

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Solution

The fourth proportional to 456.18, 679.53 and 431.34 is: 642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.18 : 679.53 = 431.34 : x
  2. Step 2: Convert to fraction form
    456.18/679.53 = 431.34/x
  3. Step 3: Cross multiply
    456.18x = 679.53 × 431.34
  4. Step 4: Simplify right side
    456.18x = 293,108.47
  5. Step 5: Solve for x
    x = 293,108.47/456.18
  6. Step 6: Final answer
    x = 642.53

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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.