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Finding the Fourth Proportional to 870.50, 1,200.86 and 634.33

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Solution

The fourth proportional to 870.50, 1,200.86 and 634.33 is: 875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.50 : 1,200.86 = 634.33 : x
  2. Step 2: Convert to fraction form
    870.50/1,200.86 = 634.33/x
  3. Step 3: Cross multiply
    870.50x = 1,200.86 × 634.33
  4. Step 4: Simplify right side
    870.50x = 761,738.52
  5. Step 5: Solve for x
    x = 761,738.52/870.50
  6. Step 6: Final answer
    x = 875.06

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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.