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Finding the Fourth Proportional to 974.75, 1,345.16 and 726.29

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Solution

The fourth proportional to 974.75, 1,345.16 and 726.29 is: 1,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.75 : 1,345.16 = 726.29 : x
  2. Step 2: Convert to fraction form
    974.75/1,345.16 = 726.29/x
  3. Step 3: Cross multiply
    974.75x = 1,345.16 × 726.29
  4. Step 4: Simplify right side
    974.75x = 976,965.90
  5. Step 5: Solve for x
    x = 976,965.90/974.75
  6. Step 6: Final answer
    x = 1,002.27

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1.5x scale

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.