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Finding the Fourth Proportional to 1,726.31, 2,589.10 and 556.42

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Solution

The fourth proportional to 1,726.31, 2,589.10 and 556.42 is: 834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.31 : 2,589.10 = 556.42 : x
  2. Step 2: Convert to fraction form
    1,726.31/2,589.10 = 556.42/x
  3. Step 3: Cross multiply
    1,726.31x = 2,589.10 × 556.42
  4. Step 4: Simplify right side
    1,726.31x = 1,440,627.02
  5. Step 5: Solve for x
    x = 1,440,627.02/1,726.31
  6. Step 6: Final answer
    x = 834.51

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1.5x scale

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.