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Finding the Fourth Proportional to 919.59, 1,377.95 and 782.07

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Solution

The fourth proportional to 919.59, 1,377.95 and 782.07 is: 1,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.59 : 1,377.95 = 782.07 : x
  2. Step 2: Convert to fraction form
    919.59/1,377.95 = 782.07/x
  3. Step 3: Cross multiply
    919.59x = 1,377.95 × 782.07
  4. Step 4: Simplify right side
    919.59x = 1,077,649.45
  5. Step 5: Solve for x
    x = 1,077,649.45/919.59
  6. Step 6: Final answer
    x = 1,171.88

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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.