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Finding the Fourth Proportional to 983.55, 1,476.23 and 778.71

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Solution

The fourth proportional to 983.55, 1,476.23 and 778.71 is: 1,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.55 : 1,476.23 = 778.71 : x
  2. Step 2: Convert to fraction form
    983.55/1,476.23 = 778.71/x
  3. Step 3: Cross multiply
    983.55x = 1,476.23 × 778.71
  4. Step 4: Simplify right side
    983.55x = 1,149,551.17
  5. Step 5: Solve for x
    x = 1,149,551.17/983.55
  6. Step 6: Final answer
    x = 1,168.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.