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Finding the Fourth Proportional to 1,186.69, 1,780.03 and 493.35

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Solution

The fourth proportional to 1,186.69, 1,780.03 and 493.35 is: 740.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.69 : 1,780.03 = 493.35 : x
  2. Step 2: Convert to fraction form
    1,186.69/1,780.03 = 493.35/x
  3. Step 3: Cross multiply
    1,186.69x = 1,780.03 × 493.35
  4. Step 4: Simplify right side
    1,186.69x = 878,177.80
  5. Step 5: Solve for x
    x = 878,177.80/1,186.69
  6. Step 6: Final answer
    x = 740.02

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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.