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Finding the Fourth Proportional to 2,268.40, 3,402.55 and 624.91

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Solution

The fourth proportional to 2,268.40, 3,402.55 and 624.91 is: 937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.40 : 3,402.55 = 624.91 : x
  2. Step 2: Convert to fraction form
    2,268.40/3,402.55 = 624.91/x
  3. Step 3: Cross multiply
    2,268.40x = 3,402.55 × 624.91
  4. Step 4: Simplify right side
    2,268.40x = 2,126,284.40
  5. Step 5: Solve for x
    x = 2,126,284.40/2,268.40
  6. Step 6: Final answer
    x = 937.35

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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.