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Finding the Fourth Proportional to 864.47, 1,193.13 and 549.48

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Solution

The fourth proportional to 864.47, 1,193.13 and 549.48 is: 758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.47 : 1,193.13 = 549.48 : x
  2. Step 2: Convert to fraction form
    864.47/1,193.13 = 549.48/x
  3. Step 3: Cross multiply
    864.47x = 1,193.13 × 549.48
  4. Step 4: Simplify right side
    864.47x = 655,605.55
  5. Step 5: Solve for x
    x = 655,605.55/864.47
  6. Step 6: Final answer
    x = 758.39

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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.