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Finding the Fourth Proportional to 1,188.40, 1,780.50 and 1,040.50

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Solution

The fourth proportional to 1,188.40, 1,780.50 and 1,040.50 is: 1,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.40 : 1,780.50 = 1,040.50 : x
  2. Step 2: Convert to fraction form
    1,188.40/1,780.50 = 1,040.50/x
  3. Step 3: Cross multiply
    1,188.40x = 1,780.50 × 1,040.50
  4. Step 4: Simplify right side
    1,188.40x = 1,852,610.25
  5. Step 5: Solve for x
    x = 1,852,610.25/1,188.40
  6. Step 6: Final answer
    x = 1,558.91

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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.