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Finding the Fourth Proportional to 1,187.21, 1,780.70 and 493.44

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Solution

The fourth proportional to 1,187.21, 1,780.70 and 493.44 is: 740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.21 : 1,780.70 = 493.44 : x
  2. Step 2: Convert to fraction form
    1,187.21/1,780.70 = 493.44/x
  3. Step 3: Cross multiply
    1,187.21x = 1,780.70 × 493.44
  4. Step 4: Simplify right side
    1,187.21x = 878,666.14
  5. Step 5: Solve for x
    x = 878,666.14/1,187.21
  6. Step 6: Final answer
    x = 740.11

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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.