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Finding the Fourth Proportional to 764.01, 1,144.98 and 547.11

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Solution

The fourth proportional to 764.01, 1,144.98 and 547.11 is: 819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.01 : 1,144.98 = 547.11 : x
  2. Step 2: Convert to fraction form
    764.01/1,144.98 = 547.11/x
  3. Step 3: Cross multiply
    764.01x = 1,144.98 × 547.11
  4. Step 4: Simplify right side
    764.01x = 626,430.01
  5. Step 5: Solve for x
    x = 626,430.01/764.01
  6. Step 6: Final answer
    x = 819.92

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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.