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Finding the Fourth Proportional to 2,259.61, 3,388.86 and 616.16

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Solution

The fourth proportional to 2,259.61, 3,388.86 and 616.16 is: 924.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.61 : 3,388.86 = 616.16 : x
  2. Step 2: Convert to fraction form
    2,259.61/3,388.86 = 616.16/x
  3. Step 3: Cross multiply
    2,259.61x = 3,388.86 × 616.16
  4. Step 4: Simplify right side
    2,259.61x = 2,088,079.98
  5. Step 5: Solve for x
    x = 2,088,079.98/2,259.61
  6. Step 6: Final answer
    x = 924.09

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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.