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Finding the Fourth Proportional to 1,727.69, 2,591.91 and 557.76

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Solution

The fourth proportional to 1,727.69, 2,591.91 and 557.76 is: 836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.69 : 2,591.91 = 557.76 : x
  2. Step 2: Convert to fraction form
    1,727.69/2,591.91 = 557.76/x
  3. Step 3: Cross multiply
    1,727.69x = 2,591.91 × 557.76
  4. Step 4: Simplify right side
    1,727.69x = 1,445,658.86
  5. Step 5: Solve for x
    x = 1,445,658.86/1,727.69
  6. Step 6: Final answer
    x = 836.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.