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Finding the Fourth Proportional to 2,259.36, 3,388.49 and 615.92

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Solution

The fourth proportional to 2,259.36, 3,388.49 and 615.92 is: 923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.36 : 3,388.49 = 615.92 : x
  2. Step 2: Convert to fraction form
    2,259.36/3,388.49 = 615.92/x
  3. Step 3: Cross multiply
    2,259.36x = 3,388.49 × 615.92
  4. Step 4: Simplify right side
    2,259.36x = 2,087,018.74
  5. Step 5: Solve for x
    x = 2,087,018.74/2,259.36
  6. Step 6: Final answer
    x = 923.72

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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.