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Finding the Fourth Proportional to 807.90, 1,112.55 and 559.02

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Solution

The fourth proportional to 807.90, 1,112.55 and 559.02 is: 769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.90 : 1,112.55 = 559.02 : x
  2. Step 2: Convert to fraction form
    807.90/1,112.55 = 559.02/x
  3. Step 3: Cross multiply
    807.90x = 1,112.55 × 559.02
  4. Step 4: Simplify right side
    807.90x = 621,937.70
  5. Step 5: Solve for x
    x = 621,937.70/807.90
  6. Step 6: Final answer
    x = 769.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.