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Finding the Fourth Proportional to 2,223.29, 3,332.88 and 762.10

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Solution

The fourth proportional to 2,223.29, 3,332.88 and 762.10 is: 1,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.29 : 3,332.88 = 762.10 : x
  2. Step 2: Convert to fraction form
    2,223.29/3,332.88 = 762.10/x
  3. Step 3: Cross multiply
    2,223.29x = 3,332.88 × 762.10
  4. Step 4: Simplify right side
    2,223.29x = 2,539,979.52
  5. Step 5: Solve for x
    x = 2,539,979.52/2,223.29
  6. Step 6: Final answer
    x = 1,142.44

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1.5x scale

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.