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Finding the Fourth Proportional to 511.58, 763.42 and 456.90

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Solution

The fourth proportional to 511.58, 763.42 and 456.90 is: 681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.58 : 763.42 = 456.90 : x
  2. Step 2: Convert to fraction form
    511.58/763.42 = 456.90/x
  3. Step 3: Cross multiply
    511.58x = 763.42 × 456.90
  4. Step 4: Simplify right side
    511.58x = 348,806.60
  5. Step 5: Solve for x
    x = 348,806.60/511.58
  6. Step 6: Final answer
    x = 681.82

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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.