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Finding the Fourth Proportional to 901.20, 1,242.63 and 734.90

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Solution

The fourth proportional to 901.20, 1,242.63 and 734.90 is: 1,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.20 : 1,242.63 = 734.90 : x
  2. Step 2: Convert to fraction form
    901.20/1,242.63 = 734.90/x
  3. Step 3: Cross multiply
    901.20x = 1,242.63 × 734.90
  4. Step 4: Simplify right side
    901.20x = 913,202.57
  5. Step 5: Solve for x
    x = 913,202.57/901.20
  6. Step 6: Final answer
    x = 1,013.32

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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.