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Finding the Fourth Proportional to 747.46, 1,116.94 and 653.68

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Solution

The fourth proportional to 747.46, 1,116.94 and 653.68 is: 976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.46 : 1,116.94 = 653.68 : x
  2. Step 2: Convert to fraction form
    747.46/1,116.94 = 653.68/x
  3. Step 3: Cross multiply
    747.46x = 1,116.94 × 653.68
  4. Step 4: Simplify right side
    747.46x = 730,121.34
  5. Step 5: Solve for x
    x = 730,121.34/747.46
  6. Step 6: Final answer
    x = 976.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.