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Finding the Fourth Proportional to 798.39, 1,102.34 and 499.76

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Solution

The fourth proportional to 798.39, 1,102.34 and 499.76 is: 690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.39 : 1,102.34 = 499.76 : x
  2. Step 2: Convert to fraction form
    798.39/1,102.34 = 499.76/x
  3. Step 3: Cross multiply
    798.39x = 1,102.34 × 499.76
  4. Step 4: Simplify right side
    798.39x = 550,897.43
  5. Step 5: Solve for x
    x = 550,897.43/798.39
  6. Step 6: Final answer
    x = 690.01

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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.