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Finding the Fourth Proportional to 875.88, 1,205.96 and 728.19

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Solution

The fourth proportional to 875.88, 1,205.96 and 728.19 is: 1,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.88 : 1,205.96 = 728.19 : x
  2. Step 2: Convert to fraction form
    875.88/1,205.96 = 728.19/x
  3. Step 3: Cross multiply
    875.88x = 1,205.96 × 728.19
  4. Step 4: Simplify right side
    875.88x = 878,164.37
  5. Step 5: Solve for x
    x = 878,164.37/875.88
  6. Step 6: Final answer
    x = 1,002.61

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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.