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Finding the Fourth Proportional to 557.80, 766.68 and 491.92

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Solution

The fourth proportional to 557.80, 766.68 and 491.92 is: 676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.80 : 766.68 = 491.92 : x
  2. Step 2: Convert to fraction form
    557.80/766.68 = 491.92/x
  3. Step 3: Cross multiply
    557.80x = 766.68 × 491.92
  4. Step 4: Simplify right side
    557.80x = 377,145.23
  5. Step 5: Solve for x
    x = 377,145.23/557.80
  6. Step 6: Final answer
    x = 676.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.