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Finding the Fourth Proportional to 864.91, 1,193.61 and 491.95

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Solution

The fourth proportional to 864.91, 1,193.61 and 491.95 is: 678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.91 : 1,193.61 = 491.95 : x
  2. Step 2: Convert to fraction form
    864.91/1,193.61 = 491.95/x
  3. Step 3: Cross multiply
    864.91x = 1,193.61 × 491.95
  4. Step 4: Simplify right side
    864.91x = 587,196.44
  5. Step 5: Solve for x
    x = 587,196.44/864.91
  6. Step 6: Final answer
    x = 678.91

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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.