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Finding the Fourth Proportional to 1,726.34, 2,590 and 572.90

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Solution

The fourth proportional to 1,726.34, 2,590 and 572.90 is: 859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.34 : 2,590 = 572.90 : x
  2. Step 2: Convert to fraction form
    1,726.34/2,590 = 572.90/x
  3. Step 3: Cross multiply
    1,726.34x = 2,590 × 572.90
  4. Step 4: Simplify right side
    1,726.34x = 1,483,811
  5. Step 5: Solve for x
    x = 1,483,811/1,726.34
  6. Step 6: Final answer
    x = 859.51

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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.