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Finding the Fourth Proportional to 767.11, 1,056.47 and 717.70

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Solution

The fourth proportional to 767.11, 1,056.47 and 717.70 is: 988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.11 : 1,056.47 = 717.70 : x
  2. Step 2: Convert to fraction form
    767.11/1,056.47 = 717.70/x
  3. Step 3: Cross multiply
    767.11x = 1,056.47 × 717.70
  4. Step 4: Simplify right side
    767.11x = 758,228.52
  5. Step 5: Solve for x
    x = 758,228.52/767.11
  6. Step 6: Final answer
    x = 988.42

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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.