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Finding the Fourth Proportional to 942.24, 1,412.16 and 724.80

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Solution

The fourth proportional to 942.24, 1,412.16 and 724.80 is: 1,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.24 : 1,412.16 = 724.80 : x
  2. Step 2: Convert to fraction form
    942.24/1,412.16 = 724.80/x
  3. Step 3: Cross multiply
    942.24x = 1,412.16 × 724.80
  4. Step 4: Simplify right side
    942.24x = 1,023,533.57
  5. Step 5: Solve for x
    x = 1,023,533.57/942.24
  6. Step 6: Final answer
    x = 1,086.28

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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.