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Finding the Fourth Proportional to 893.68, 1,234.28 and 598.44

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Solution

The fourth proportional to 893.68, 1,234.28 and 598.44 is: 826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.68 : 1,234.28 = 598.44 : x
  2. Step 2: Convert to fraction form
    893.68/1,234.28 = 598.44/x
  3. Step 3: Cross multiply
    893.68x = 1,234.28 × 598.44
  4. Step 4: Simplify right side
    893.68x = 738,642.52
  5. Step 5: Solve for x
    x = 738,642.52/893.68
  6. Step 6: Final answer
    x = 826.52

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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.