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Finding the Fourth Proportional to 899.02, 1,339.24 and 871.82

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Solution

The fourth proportional to 899.02, 1,339.24 and 871.82 is: 1,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.02 : 1,339.24 = 871.82 : x
  2. Step 2: Convert to fraction form
    899.02/1,339.24 = 871.82/x
  3. Step 3: Cross multiply
    899.02x = 1,339.24 × 871.82
  4. Step 4: Simplify right side
    899.02x = 1,167,576.22
  5. Step 5: Solve for x
    x = 1,167,576.22/899.02
  6. Step 6: Final answer
    x = 1,298.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.