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Finding the Fourth Proportional to 807.68, 1,204.72 and 783.38

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Solution

The fourth proportional to 807.68, 1,204.72 and 783.38 is: 1,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.68 : 1,204.72 = 783.38 : x
  2. Step 2: Convert to fraction form
    807.68/1,204.72 = 783.38/x
  3. Step 3: Cross multiply
    807.68x = 1,204.72 × 783.38
  4. Step 4: Simplify right side
    807.68x = 943,753.55
  5. Step 5: Solve for x
    x = 943,753.55/807.68
  6. Step 6: Final answer
    x = 1,168.47

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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.