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Finding the Fourth Proportional to 462.22, 689.21 and 456.55

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Solution

The fourth proportional to 462.22, 689.21 and 456.55 is: 680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.22 : 689.21 = 456.55 : x
  2. Step 2: Convert to fraction form
    462.22/689.21 = 456.55/x
  3. Step 3: Cross multiply
    462.22x = 689.21 × 456.55
  4. Step 4: Simplify right side
    462.22x = 314,658.83
  5. Step 5: Solve for x
    x = 314,658.83/462.22
  6. Step 6: Final answer
    x = 680.76

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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.