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Finding the Fourth Proportional to 1,156, 1,595.61 and 658.91

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Solution

The fourth proportional to 1,156, 1,595.61 and 658.91 is: 909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156 : 1,595.61 = 658.91 : x
  2. Step 2: Convert to fraction form
    1,156/1,595.61 = 658.91/x
  3. Step 3: Cross multiply
    1,156x = 1,595.61 × 658.91
  4. Step 4: Simplify right side
    1,156x = 1,051,363.39
  5. Step 5: Solve for x
    x = 1,051,363.39/1,156
  6. Step 6: Final answer
    x = 909.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.