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Finding the Fourth Proportional to 2,320.94, 3,480.76 and 654.95

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Solution

The fourth proportional to 2,320.94, 3,480.76 and 654.95 is: 982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.94 : 3,480.76 = 654.95 : x
  2. Step 2: Convert to fraction form
    2,320.94/3,480.76 = 654.95/x
  3. Step 3: Cross multiply
    2,320.94x = 3,480.76 × 654.95
  4. Step 4: Simplify right side
    2,320.94x = 2,279,733.28
  5. Step 5: Solve for x
    x = 2,279,733.28/2,320.94
  6. Step 6: Final answer
    x = 982.24

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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.