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Finding the Fourth Proportional to 869.44, 1,200.32 and 790.40

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Solution

The fourth proportional to 869.44, 1,200.32 and 790.40 is: 1,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.44 : 1,200.32 = 790.40 : x
  2. Step 2: Convert to fraction form
    869.44/1,200.32 = 790.40/x
  3. Step 3: Cross multiply
    869.44x = 1,200.32 × 790.40
  4. Step 4: Simplify right side
    869.44x = 948,732.93
  5. Step 5: Solve for x
    x = 948,732.93/869.44
  6. Step 6: Final answer
    x = 1,091.20

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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.