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Finding the Fourth Proportional to 1,722.48, 2,584.08 and 748.32

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Solution

The fourth proportional to 1,722.48, 2,584.08 and 748.32 is: 1,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.48 : 2,584.08 = 748.32 : x
  2. Step 2: Convert to fraction form
    1,722.48/2,584.08 = 748.32/x
  3. Step 3: Cross multiply
    1,722.48x = 2,584.08 × 748.32
  4. Step 4: Simplify right side
    1,722.48x = 1,933,718.75
  5. Step 5: Solve for x
    x = 1,933,718.75/1,722.48
  6. Step 6: Final answer
    x = 1,122.64

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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.