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Finding the Fourth Proportional to 870.02, 1,198.89 and 633.58

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Solution

The fourth proportional to 870.02, 1,198.89 and 633.58 is: 873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.02 : 1,198.89 = 633.58 : x
  2. Step 2: Convert to fraction form
    870.02/1,198.89 = 633.58/x
  3. Step 3: Cross multiply
    870.02x = 1,198.89 × 633.58
  4. Step 4: Simplify right side
    870.02x = 759,592.73
  5. Step 5: Solve for x
    x = 759,592.73/870.02
  6. Step 6: Final answer
    x = 873.08

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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.