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Finding the Fourth Proportional to 2,287.35, 3,430.85 and 643.95

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Solution

The fourth proportional to 2,287.35, 3,430.85 and 643.95 is: 965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.35 : 3,430.85 = 643.95 : x
  2. Step 2: Convert to fraction form
    2,287.35/3,430.85 = 643.95/x
  3. Step 3: Cross multiply
    2,287.35x = 3,430.85 × 643.95
  4. Step 4: Simplify right side
    2,287.35x = 2,209,292.64
  5. Step 5: Solve for x
    x = 2,209,292.64/2,287.35
  6. Step 6: Final answer
    x = 965.87

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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.