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Finding the Fourth Proportional to 1,275.90, 1,760.98 and 778.98

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Solution

The fourth proportional to 1,275.90, 1,760.98 and 778.98 is: 1,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.90 : 1,760.98 = 778.98 : x
  2. Step 2: Convert to fraction form
    1,275.90/1,760.98 = 778.98/x
  3. Step 3: Cross multiply
    1,275.90x = 1,760.98 × 778.98
  4. Step 4: Simplify right side
    1,275.90x = 1,371,768.20
  5. Step 5: Solve for x
    x = 1,371,768.20/1,275.90
  6. Step 6: Final answer
    x = 1,075.14

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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.