Home / 1,164.34-1,748.13-616.78

Finding the Fourth Proportional to 1,164.34, 1,748.13 and 616.78

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Solution

The fourth proportional to 1,164.34, 1,748.13 and 616.78 is: 926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.34 : 1,748.13 = 616.78 : x
  2. Step 2: Convert to fraction form
    1,164.34/1,748.13 = 616.78/x
  3. Step 3: Cross multiply
    1,164.34x = 1,748.13 × 616.78
  4. Step 4: Simplify right side
    1,164.34x = 1,078,211.62
  5. Step 5: Solve for x
    x = 1,078,211.62/1,164.34
  6. Step 6: Final answer
    x = 926.03

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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.