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Finding the Fourth Proportional to 926.59, 1,280.03 and 739.83

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Solution

The fourth proportional to 926.59, 1,280.03 and 739.83 is: 1,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.59 : 1,280.03 = 739.83 : x
  2. Step 2: Convert to fraction form
    926.59/1,280.03 = 739.83/x
  3. Step 3: Cross multiply
    926.59x = 1,280.03 × 739.83
  4. Step 4: Simplify right side
    926.59x = 947,007.78
  5. Step 5: Solve for x
    x = 947,007.78/926.59
  6. Step 6: Final answer
    x = 1,022.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.