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Finding the Fourth Proportional to 798.48, 1,102.34 and 537.88

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Solution

The fourth proportional to 798.48, 1,102.34 and 537.88 is: 742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.48 : 1,102.34 = 537.88 : x
  2. Step 2: Convert to fraction form
    798.48/1,102.34 = 537.88/x
  3. Step 3: Cross multiply
    798.48x = 1,102.34 × 537.88
  4. Step 4: Simplify right side
    798.48x = 592,926.64
  5. Step 5: Solve for x
    x = 592,926.64/798.48
  6. Step 6: Final answer
    x = 742.57

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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.