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Finding the Fourth Proportional to 875.92, 1,207.86 and 728.50

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Solution

The fourth proportional to 875.92, 1,207.86 and 728.50 is: 1,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.92 : 1,207.86 = 728.50 : x
  2. Step 2: Convert to fraction form
    875.92/1,207.86 = 728.50/x
  3. Step 3: Cross multiply
    875.92x = 1,207.86 × 728.50
  4. Step 4: Simplify right side
    875.92x = 879,926.01
  5. Step 5: Solve for x
    x = 879,926.01/875.92
  6. Step 6: Final answer
    x = 1,004.57

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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.