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Finding the Fourth Proportional to 865.06, 1,193.73 and 491.99

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Solution

The fourth proportional to 865.06, 1,193.73 and 491.99 is: 678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.06 : 1,193.73 = 491.99 : x
  2. Step 2: Convert to fraction form
    865.06/1,193.73 = 491.99/x
  3. Step 3: Cross multiply
    865.06x = 1,193.73 × 491.99
  4. Step 4: Simplify right side
    865.06x = 587,294.79
  5. Step 5: Solve for x
    x = 587,294.79/865.06
  6. Step 6: Final answer
    x = 678.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.