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Finding the Fourth Proportional to 2,286.34, 3,430.15 and 642.90

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Solution

The fourth proportional to 2,286.34, 3,430.15 and 642.90 is: 964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.34 : 3,430.15 = 642.90 : x
  2. Step 2: Convert to fraction form
    2,286.34/3,430.15 = 642.90/x
  3. Step 3: Cross multiply
    2,286.34x = 3,430.15 × 642.90
  4. Step 4: Simplify right side
    2,286.34x = 2,205,243.44
  5. Step 5: Solve for x
    x = 2,205,243.44/2,286.34
  6. Step 6: Final answer
    x = 964.53

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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.