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Finding the Fourth Proportional to 807.15, 1,133.25 and 807.15

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Solution

The fourth proportional to 807.15, 1,133.25 and 807.15 is: 1,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.15 : 1,133.25 = 807.15 : x
  2. Step 2: Convert to fraction form
    807.15/1,133.25 = 807.15/x
  3. Step 3: Cross multiply
    807.15x = 1,133.25 × 807.15
  4. Step 4: Simplify right side
    807.15x = 914,702.74
  5. Step 5: Solve for x
    x = 914,702.74/807.15
  6. Step 6: Final answer
    x = 1,133.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.