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Finding the Fourth Proportional to 1,187.33, 1,781.26 and 493.86

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Solution

The fourth proportional to 1,187.33, 1,781.26 and 493.86 is: 740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.33 : 1,781.26 = 493.86 : x
  2. Step 2: Convert to fraction form
    1,187.33/1,781.26 = 493.86/x
  3. Step 3: Cross multiply
    1,187.33x = 1,781.26 × 493.86
  4. Step 4: Simplify right side
    1,187.33x = 879,698.51
  5. Step 5: Solve for x
    x = 879,698.51/1,187.33
  6. Step 6: Final answer
    x = 740.91

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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.