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Finding the Fourth Proportional to 1,153.85, 1,730.77 and 659.95

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Solution

The fourth proportional to 1,153.85, 1,730.77 and 659.95 is: 989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.85 : 1,730.77 = 659.95 : x
  2. Step 2: Convert to fraction form
    1,153.85/1,730.77 = 659.95/x
  3. Step 3: Cross multiply
    1,153.85x = 1,730.77 × 659.95
  4. Step 4: Simplify right side
    1,153.85x = 1,142,215.68
  5. Step 5: Solve for x
    x = 1,142,215.68/1,153.85
  6. Step 6: Final answer
    x = 989.92

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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.