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Finding the Fourth Proportional to 747.11, 1,113.15 and 705.20

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Solution

The fourth proportional to 747.11, 1,113.15 and 705.20 is: 1,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.11 : 1,113.15 = 705.20 : x
  2. Step 2: Convert to fraction form
    747.11/1,113.15 = 705.20/x
  3. Step 3: Cross multiply
    747.11x = 1,113.15 × 705.20
  4. Step 4: Simplify right side
    747.11x = 784,987.81
  5. Step 5: Solve for x
    x = 784,987.81/747.11
  6. Step 6: Final answer
    x = 1,050.71

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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.