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Finding the Fourth Proportional to 807.60, 1,129.20 and 807.60

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Solution

The fourth proportional to 807.60, 1,129.20 and 807.60 is: 1,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.60 : 1,129.20 = 807.60 : x
  2. Step 2: Convert to fraction form
    807.60/1,129.20 = 807.60/x
  3. Step 3: Cross multiply
    807.60x = 1,129.20 × 807.60
  4. Step 4: Simplify right side
    807.60x = 911,941.92
  5. Step 5: Solve for x
    x = 911,941.92/807.60
  6. Step 6: Final answer
    x = 1,129.20

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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.