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Finding the Fourth Proportional to 974.55, 1,345.19 and 754.05

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Solution

The fourth proportional to 974.55, 1,345.19 and 754.05 is: 1,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.55 : 1,345.19 = 754.05 : x
  2. Step 2: Convert to fraction form
    974.55/1,345.19 = 754.05/x
  3. Step 3: Cross multiply
    974.55x = 1,345.19 × 754.05
  4. Step 4: Simplify right side
    974.55x = 1,014,336.75
  5. Step 5: Solve for x
    x = 1,014,336.75/974.55
  6. Step 6: Final answer
    x = 1,040.83

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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.