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Finding the Fourth Proportional to 1,117.15, 1,674.59 and 747.25

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Solution

The fourth proportional to 1,117.15, 1,674.59 and 747.25 is: 1,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.15 : 1,674.59 = 747.25 : x
  2. Step 2: Convert to fraction form
    1,117.15/1,674.59 = 747.25/x
  3. Step 3: Cross multiply
    1,117.15x = 1,674.59 × 747.25
  4. Step 4: Simplify right side
    1,117.15x = 1,251,329.45
  5. Step 5: Solve for x
    x = 1,251,329.45/1,117.15
  6. Step 6: Final answer
    x = 1,120.11

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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.