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Finding the Fourth Proportional to 870.83, 1,201.22 and 634.46

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Solution

The fourth proportional to 870.83, 1,201.22 and 634.46 is: 875.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.83 : 1,201.22 = 634.46 : x
  2. Step 2: Convert to fraction form
    870.83/1,201.22 = 634.46/x
  3. Step 3: Cross multiply
    870.83x = 1,201.22 × 634.46
  4. Step 4: Simplify right side
    870.83x = 762,126.04
  5. Step 5: Solve for x
    x = 762,126.04/870.83
  6. Step 6: Final answer
    x = 875.17

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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.