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Finding the Fourth Proportional to 763.04, 1,143.44 and 546.72

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Solution

The fourth proportional to 763.04, 1,143.44 and 546.72 is: 819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.04 : 1,143.44 = 546.72 : x
  2. Step 2: Convert to fraction form
    763.04/1,143.44 = 546.72/x
  3. Step 3: Cross multiply
    763.04x = 1,143.44 × 546.72
  4. Step 4: Simplify right side
    763.04x = 625,141.52
  5. Step 5: Solve for x
    x = 625,141.52/763.04
  6. Step 6: Final answer
    x = 819.28

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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.