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Finding the Fourth Proportional to 747.11, 1,120.38 and 260.03

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Solution

The fourth proportional to 747.11, 1,120.38 and 260.03 is: 389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.11 : 1,120.38 = 260.03 : x
  2. Step 2: Convert to fraction form
    747.11/1,120.38 = 260.03/x
  3. Step 3: Cross multiply
    747.11x = 1,120.38 × 260.03
  4. Step 4: Simplify right side
    747.11x = 291,332.41
  5. Step 5: Solve for x
    x = 291,332.41/747.11
  6. Step 6: Final answer
    x = 389.95

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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.