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Finding the Fourth Proportional to 1,310.61, 1,965.09 and 616.86

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Solution

The fourth proportional to 1,310.61, 1,965.09 and 616.86 is: 924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.61 : 1,965.09 = 616.86 : x
  2. Step 2: Convert to fraction form
    1,310.61/1,965.09 = 616.86/x
  3. Step 3: Cross multiply
    1,310.61x = 1,965.09 × 616.86
  4. Step 4: Simplify right side
    1,310.61x = 1,212,185.42
  5. Step 5: Solve for x
    x = 1,212,185.42/1,310.61
  6. Step 6: Final answer
    x = 924.90

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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.