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Finding the Fourth Proportional to 822.58, 1,231.79 and 497.14

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Solution

The fourth proportional to 822.58, 1,231.79 and 497.14 is: 744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.58 : 1,231.79 = 497.14 : x
  2. Step 2: Convert to fraction form
    822.58/1,231.79 = 497.14/x
  3. Step 3: Cross multiply
    822.58x = 1,231.79 × 497.14
  4. Step 4: Simplify right side
    822.58x = 612,372.08
  5. Step 5: Solve for x
    x = 612,372.08/822.58
  6. Step 6: Final answer
    x = 744.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.