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Finding the Fourth Proportional to 899.96, 1,340.64 and 872.76

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Solution

The fourth proportional to 899.96, 1,340.64 and 872.76 is: 1,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.96 : 1,340.64 = 872.76 : x
  2. Step 2: Convert to fraction form
    899.96/1,340.64 = 872.76/x
  3. Step 3: Cross multiply
    899.96x = 1,340.64 × 872.76
  4. Step 4: Simplify right side
    899.96x = 1,170,045.90
  5. Step 5: Solve for x
    x = 1,170,045.90/899.96
  6. Step 6: Final answer
    x = 1,300.11

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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.