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Finding the Fourth Proportional to 761.45, 1,142.17 and 549.58

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Solution

The fourth proportional to 761.45, 1,142.17 and 549.58 is: 824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.45 : 1,142.17 = 549.58 : x
  2. Step 2: Convert to fraction form
    761.45/1,142.17 = 549.58/x
  3. Step 3: Cross multiply
    761.45x = 1,142.17 × 549.58
  4. Step 4: Simplify right side
    761.45x = 627,713.79
  5. Step 5: Solve for x
    x = 627,713.79/761.45
  6. Step 6: Final answer
    x = 824.37

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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.