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Finding the Fourth Proportional to 1,188.47, 1,641.16 and 769.50

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Solution

The fourth proportional to 1,188.47, 1,641.16 and 769.50 is: 1,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.47 : 1,641.16 = 769.50 : x
  2. Step 2: Convert to fraction form
    1,188.47/1,641.16 = 769.50/x
  3. Step 3: Cross multiply
    1,188.47x = 1,641.16 × 769.50
  4. Step 4: Simplify right side
    1,188.47x = 1,262,873.58
  5. Step 5: Solve for x
    x = 1,262,873.58/1,188.47
  6. Step 6: Final answer
    x = 1,062.60

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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.