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Finding the Fourth Proportional to 1,188.95, 1,640.32 and 691.40

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Solution

The fourth proportional to 1,188.95, 1,640.32 and 691.40 is: 953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.95 : 1,640.32 = 691.40 : x
  2. Step 2: Convert to fraction form
    1,188.95/1,640.32 = 691.40/x
  3. Step 3: Cross multiply
    1,188.95x = 1,640.32 × 691.40
  4. Step 4: Simplify right side
    1,188.95x = 1,134,119.62
  5. Step 5: Solve for x
    x = 1,134,119.62/1,188.95
  6. Step 6: Final answer
    x = 953.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.