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Finding the Fourth Proportional to 807.25, 1,113.49 and 496.77

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Solution

The fourth proportional to 807.25, 1,113.49 and 496.77 is: 685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.25 : 1,113.49 = 496.77 : x
  2. Step 2: Convert to fraction form
    807.25/1,113.49 = 496.77/x
  3. Step 3: Cross multiply
    807.25x = 1,113.49 × 496.77
  4. Step 4: Simplify right side
    807.25x = 553,145.94
  5. Step 5: Solve for x
    x = 553,145.94/807.25
  6. Step 6: Final answer
    x = 685.22

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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.