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Finding the Fourth Proportional to 919.47, 1,377.76 and 781.95

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Solution

The fourth proportional to 919.47, 1,377.76 and 781.95 is: 1,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.47 : 1,377.76 = 781.95 : x
  2. Step 2: Convert to fraction form
    919.47/1,377.76 = 781.95/x
  3. Step 3: Cross multiply
    919.47x = 1,377.76 × 781.95
  4. Step 4: Simplify right side
    919.47x = 1,077,339.43
  5. Step 5: Solve for x
    x = 1,077,339.43/919.47
  6. Step 6: Final answer
    x = 1,171.70

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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.