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Finding the Fourth Proportional to 1,188.54, 1,780.38 and 862.92

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Solution

The fourth proportional to 1,188.54, 1,780.38 and 862.92 is: 1,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.54 : 1,780.38 = 862.92 : x
  2. Step 2: Convert to fraction form
    1,188.54/1,780.38 = 862.92/x
  3. Step 3: Cross multiply
    1,188.54x = 1,780.38 × 862.92
  4. Step 4: Simplify right side
    1,188.54x = 1,536,325.51
  5. Step 5: Solve for x
    x = 1,536,325.51/1,188.54
  6. Step 6: Final answer
    x = 1,292.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.