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Finding the Fourth Proportional to 738.88, 1,110 and 641.68

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Solution

The fourth proportional to 738.88, 1,110 and 641.68 is: 963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.88 : 1,110 = 641.68 : x
  2. Step 2: Convert to fraction form
    738.88/1,110 = 641.68/x
  3. Step 3: Cross multiply
    738.88x = 1,110 × 641.68
  4. Step 4: Simplify right side
    738.88x = 712,264.80
  5. Step 5: Solve for x
    x = 712,264.80/738.88
  6. Step 6: Final answer
    x = 963.98

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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.