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Finding the Fourth Proportional to 795.48, 1,098.78 and 611.23

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Solution

The fourth proportional to 795.48, 1,098.78 and 611.23 is: 844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.48 : 1,098.78 = 611.23 : x
  2. Step 2: Convert to fraction form
    795.48/1,098.78 = 611.23/x
  3. Step 3: Cross multiply
    795.48x = 1,098.78 × 611.23
  4. Step 4: Simplify right side
    795.48x = 671,607.30
  5. Step 5: Solve for x
    x = 671,607.30/795.48
  6. Step 6: Final answer
    x = 844.28

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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.