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Finding the Fourth Proportional to 1,280.30, 1,765.71 and 1,000.10

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Solution

The fourth proportional to 1,280.30, 1,765.71 and 1,000.10 is: 1,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.30 : 1,765.71 = 1,000.10 : x
  2. Step 2: Convert to fraction form
    1,280.30/1,765.71 = 1,000.10/x
  3. Step 3: Cross multiply
    1,280.30x = 1,765.71 × 1,000.10
  4. Step 4: Simplify right side
    1,280.30x = 1,765,886.57
  5. Step 5: Solve for x
    x = 1,765,886.57/1,280.30
  6. Step 6: Final answer
    x = 1,379.28

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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.