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Finding the Fourth Proportional to 993.00, 1,488.14 and 862.70

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Solution

The fourth proportional to 993.00, 1,488.14 and 862.70 is: 1,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.00 : 1,488.14 = 862.70 : x
  2. Step 2: Convert to fraction form
    993.00/1,488.14 = 862.70/x
  3. Step 3: Cross multiply
    993.00x = 1,488.14 × 862.70
  4. Step 4: Simplify right side
    993.00x = 1,283,809.86
  5. Step 5: Solve for x
    x = 1,283,809.86/993.00
  6. Step 6: Final answer
    x = 1,292.85

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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.