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Finding the Fourth Proportional to 2,260.31, 3,389.90 and 616.86

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Solution

The fourth proportional to 2,260.31, 3,389.90 and 616.86 is: 925.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.31 : 3,389.90 = 616.86 : x
  2. Step 2: Convert to fraction form
    2,260.31/3,389.90 = 616.86/x
  3. Step 3: Cross multiply
    2,260.31x = 3,389.90 × 616.86
  4. Step 4: Simplify right side
    2,260.31x = 2,091,090.63
  5. Step 5: Solve for x
    x = 2,091,090.63/2,260.31
  6. Step 6: Final answer
    x = 925.14

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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.