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Finding the Fourth Proportional to 1,722.60, 2,582.45 and 747.97

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Solution

The fourth proportional to 1,722.60, 2,582.45 and 747.97 is: 1,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.60 : 2,582.45 = 747.97 : x
  2. Step 2: Convert to fraction form
    1,722.60/2,582.45 = 747.97/x
  3. Step 3: Cross multiply
    1,722.60x = 2,582.45 × 747.97
  4. Step 4: Simplify right side
    1,722.60x = 1,931,587.74
  5. Step 5: Solve for x
    x = 1,931,587.74/1,722.60
  6. Step 6: Final answer
    x = 1,121.32

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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.