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Finding the Fourth Proportional to 1,280.54, 1,767.13 and 720.98

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Solution

The fourth proportional to 1,280.54, 1,767.13 and 720.98 is: 994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.54 : 1,767.13 = 720.98 : x
  2. Step 2: Convert to fraction form
    1,280.54/1,767.13 = 720.98/x
  3. Step 3: Cross multiply
    1,280.54x = 1,767.13 × 720.98
  4. Step 4: Simplify right side
    1,280.54x = 1,274,075.37
  5. Step 5: Solve for x
    x = 1,274,075.37/1,280.54
  6. Step 6: Final answer
    x = 994.95

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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.