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Finding the Fourth Proportional to 795.78, 1,098.18 and 446.47

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Solution

The fourth proportional to 795.78, 1,098.18 and 446.47 is: 616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.78 : 1,098.18 = 446.47 : x
  2. Step 2: Convert to fraction form
    795.78/1,098.18 = 446.47/x
  3. Step 3: Cross multiply
    795.78x = 1,098.18 × 446.47
  4. Step 4: Simplify right side
    795.78x = 490,301.68
  5. Step 5: Solve for x
    x = 490,301.68/795.78
  6. Step 6: Final answer
    x = 616.13

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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.