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Finding the Fourth Proportional to 1,726.48, 2,589.56 and 572.24

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Solution

The fourth proportional to 1,726.48, 2,589.56 and 572.24 is: 858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.48 : 2,589.56 = 572.24 : x
  2. Step 2: Convert to fraction form
    1,726.48/2,589.56 = 572.24/x
  3. Step 3: Cross multiply
    1,726.48x = 2,589.56 × 572.24
  4. Step 4: Simplify right side
    1,726.48x = 1,481,849.81
  5. Step 5: Solve for x
    x = 1,481,849.81/1,726.48
  6. Step 6: Final answer
    x = 858.31

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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.