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Finding the Fourth Proportional to 989.85, 1,478.34 and 897.11

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Solution

The fourth proportional to 989.85, 1,478.34 and 897.11 is: 1,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.85 : 1,478.34 = 897.11 : x
  2. Step 2: Convert to fraction form
    989.85/1,478.34 = 897.11/x
  3. Step 3: Cross multiply
    989.85x = 1,478.34 × 897.11
  4. Step 4: Simplify right side
    989.85x = 1,326,233.60
  5. Step 5: Solve for x
    x = 1,326,233.60/989.85
  6. Step 6: Final answer
    x = 1,339.83

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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.