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Finding the Fourth Proportional to 1,459.92, 2,188.32 and 728.04

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Solution

The fourth proportional to 1,459.92, 2,188.32 and 728.04 is: 1,091.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.92 : 2,188.32 = 728.04 : x
  2. Step 2: Convert to fraction form
    1,459.92/2,188.32 = 728.04/x
  3. Step 3: Cross multiply
    1,459.92x = 2,188.32 × 728.04
  4. Step 4: Simplify right side
    1,459.92x = 1,593,184.49
  5. Step 5: Solve for x
    x = 1,593,184.49/1,459.92
  6. Step 6: Final answer
    x = 1,091.28

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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.