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Finding the Fourth Proportional to 864.50, 1,193.08 and 491.59

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Solution

The fourth proportional to 864.50, 1,193.08 and 491.59 is: 678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.50 : 1,193.08 = 491.59 : x
  2. Step 2: Convert to fraction form
    864.50/1,193.08 = 491.59/x
  3. Step 3: Cross multiply
    864.50x = 1,193.08 × 491.59
  4. Step 4: Simplify right side
    864.50x = 586,506.20
  5. Step 5: Solve for x
    x = 586,506.20/864.50
  6. Step 6: Final answer
    x = 678.43

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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.