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Finding the Fourth Proportional to 2,287.32, 3,430.89 and 621.42

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Solution

The fourth proportional to 2,287.32, 3,430.89 and 621.42 is: 932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.32 : 3,430.89 = 621.42 : x
  2. Step 2: Convert to fraction form
    2,287.32/3,430.89 = 621.42/x
  3. Step 3: Cross multiply
    2,287.32x = 3,430.89 × 621.42
  4. Step 4: Simplify right side
    2,287.32x = 2,132,023.66
  5. Step 5: Solve for x
    x = 2,132,023.66/2,287.32
  6. Step 6: Final answer
    x = 932.11

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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.