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Finding the Fourth Proportional to 1,186.18, 1,778.51 and 493.31

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Solution

The fourth proportional to 1,186.18, 1,778.51 and 493.31 is: 739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.18 : 1,778.51 = 493.31 : x
  2. Step 2: Convert to fraction form
    1,186.18/1,778.51 = 493.31/x
  3. Step 3: Cross multiply
    1,186.18x = 1,778.51 × 493.31
  4. Step 4: Simplify right side
    1,186.18x = 877,362.45
  5. Step 5: Solve for x
    x = 877,362.45/1,186.18
  6. Step 6: Final answer
    x = 739.66

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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.