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Finding the Fourth Proportional to 993.04, 1,489.26 and 686.86

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Solution

The fourth proportional to 993.04, 1,489.26 and 686.86 is: 1,030.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.04 : 1,489.26 = 686.86 : x
  2. Step 2: Convert to fraction form
    993.04/1,489.26 = 686.86/x
  3. Step 3: Cross multiply
    993.04x = 1,489.26 × 686.86
  4. Step 4: Simplify right side
    993.04x = 1,022,910.55
  5. Step 5: Solve for x
    x = 1,022,910.55/993.04
  6. Step 6: Final answer
    x = 1,030.08

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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.