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Finding the Fourth Proportional to 989.14, 1,488.96 and 899.86

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Solution

The fourth proportional to 989.14, 1,488.96 and 899.86 is: 1,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.14 : 1,488.96 = 899.86 : x
  2. Step 2: Convert to fraction form
    989.14/1,488.96 = 899.86/x
  3. Step 3: Cross multiply
    989.14x = 1,488.96 × 899.86
  4. Step 4: Simplify right side
    989.14x = 1,339,855.55
  5. Step 5: Solve for x
    x = 1,339,855.55/989.14
  6. Step 6: Final answer
    x = 1,354.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.