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Finding the Fourth Proportional to 911.80, 1,259.22 and 747.64

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Solution

The fourth proportional to 911.80, 1,259.22 and 747.64 is: 1,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.80 : 1,259.22 = 747.64 : x
  2. Step 2: Convert to fraction form
    911.80/1,259.22 = 747.64/x
  3. Step 3: Cross multiply
    911.80x = 1,259.22 × 747.64
  4. Step 4: Simplify right side
    911.80x = 941,443.24
  5. Step 5: Solve for x
    x = 941,443.24/911.80
  6. Step 6: Final answer
    x = 1,032.51

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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.