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Finding the Fourth Proportional to 764.92, 1,047.68 and 720.04

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Solution

The fourth proportional to 764.92, 1,047.68 and 720.04 is: 986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.92 : 1,047.68 = 720.04 : x
  2. Step 2: Convert to fraction form
    764.92/1,047.68 = 720.04/x
  3. Step 3: Cross multiply
    764.92x = 1,047.68 × 720.04
  4. Step 4: Simplify right side
    764.92x = 754,364.67
  5. Step 5: Solve for x
    x = 754,364.67/764.92
  6. Step 6: Final answer
    x = 986.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.