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Finding the Fourth Proportional to 870.78, 1,201.28 and 572.36

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Solution

The fourth proportional to 870.78, 1,201.28 and 572.36 is: 789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.78 : 1,201.28 = 572.36 : x
  2. Step 2: Convert to fraction form
    870.78/1,201.28 = 572.36/x
  3. Step 3: Cross multiply
    870.78x = 1,201.28 × 572.36
  4. Step 4: Simplify right side
    870.78x = 687,555.75
  5. Step 5: Solve for x
    x = 687,555.75/870.78
  6. Step 6: Final answer
    x = 789.59

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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.