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Finding the Fourth Proportional to 1,040.40, 1,557.36 and 778.95

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Solution

The fourth proportional to 1,040.40, 1,557.36 and 778.95 is: 1,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.40 : 1,557.36 = 778.95 : x
  2. Step 2: Convert to fraction form
    1,040.40/1,557.36 = 778.95/x
  3. Step 3: Cross multiply
    1,040.40x = 1,557.36 × 778.95
  4. Step 4: Simplify right side
    1,040.40x = 1,213,105.57
  5. Step 5: Solve for x
    x = 1,213,105.57/1,040.40
  6. Step 6: Final answer
    x = 1,166.00

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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.