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Finding the Fourth Proportional to 2,260.35, 3,390.72 and 616.89

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Solution

The fourth proportional to 2,260.35, 3,390.72 and 616.89 is: 925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.35 : 3,390.72 = 616.89 : x
  2. Step 2: Convert to fraction form
    2,260.35/3,390.72 = 616.89/x
  3. Step 3: Cross multiply
    2,260.35x = 3,390.72 × 616.89
  4. Step 4: Simplify right side
    2,260.35x = 2,091,701.26
  5. Step 5: Solve for x
    x = 2,091,701.26/2,260.35
  6. Step 6: Final answer
    x = 925.39

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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.