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Finding the Fourth Proportional to 747.07, 1,029.85 and 641.65

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Solution

The fourth proportional to 747.07, 1,029.85 and 641.65 is: 884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.07 : 1,029.85 = 641.65 : x
  2. Step 2: Convert to fraction form
    747.07/1,029.85 = 641.65/x
  3. Step 3: Cross multiply
    747.07x = 1,029.85 × 641.65
  4. Step 4: Simplify right side
    747.07x = 660,803.25
  5. Step 5: Solve for x
    x = 660,803.25/747.07
  6. Step 6: Final answer
    x = 884.53

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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.