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Finding the Fourth Proportional to 458.30, 681.95 and 456.76

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Solution

The fourth proportional to 458.30, 681.95 and 456.76 is: 679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.30 : 681.95 = 456.76 : x
  2. Step 2: Convert to fraction form
    458.30/681.95 = 456.76/x
  3. Step 3: Cross multiply
    458.30x = 681.95 × 456.76
  4. Step 4: Simplify right side
    458.30x = 311,487.48
  5. Step 5: Solve for x
    x = 311,487.48/458.30
  6. Step 6: Final answer
    x = 679.66

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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.