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Finding the Fourth Proportional to 807.59, 1,204.30 and 800.64

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Solution

The fourth proportional to 807.59, 1,204.30 and 800.64 is: 1,193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.59 : 1,204.30 = 800.64 : x
  2. Step 2: Convert to fraction form
    807.59/1,204.30 = 800.64/x
  3. Step 3: Cross multiply
    807.59x = 1,204.30 × 800.64
  4. Step 4: Simplify right side
    807.59x = 964,206.75
  5. Step 5: Solve for x
    x = 964,206.75/807.59
  6. Step 6: Final answer
    x = 1,193.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.