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Finding the Fourth Proportional to 2,319.98, 3,480.54 and 760.07

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Solution

The fourth proportional to 2,319.98, 3,480.54 and 760.07 is: 1,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.98 : 3,480.54 = 760.07 : x
  2. Step 2: Convert to fraction form
    2,319.98/3,480.54 = 760.07/x
  3. Step 3: Cross multiply
    2,319.98x = 3,480.54 × 760.07
  4. Step 4: Simplify right side
    2,319.98x = 2,645,433.78
  5. Step 5: Solve for x
    x = 2,645,433.78/2,319.98
  6. Step 6: Final answer
    x = 1,140.28

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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.