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Finding the Fourth Proportional to 899.80, 1,347.62 and 875.21

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Solution

The fourth proportional to 899.80, 1,347.62 and 875.21 is: 1,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.80 : 1,347.62 = 875.21 : x
  2. Step 2: Convert to fraction form
    899.80/1,347.62 = 875.21/x
  3. Step 3: Cross multiply
    899.80x = 1,347.62 × 875.21
  4. Step 4: Simplify right side
    899.80x = 1,179,439.39
  5. Step 5: Solve for x
    x = 1,179,439.39/899.80
  6. Step 6: Final answer
    x = 1,310.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.