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Finding the Fourth Proportional to 901.20, 1,245.34 and 812.64

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Solution

The fourth proportional to 901.20, 1,245.34 and 812.64 is: 1,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.20 : 1,245.34 = 812.64 : x
  2. Step 2: Convert to fraction form
    901.20/1,245.34 = 812.64/x
  3. Step 3: Cross multiply
    901.20x = 1,245.34 × 812.64
  4. Step 4: Simplify right side
    901.20x = 1,012,013.10
  5. Step 5: Solve for x
    x = 1,012,013.10/901.20
  6. Step 6: Final answer
    x = 1,122.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.