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Finding the Fourth Proportional to 822.76, 1,233.42 and 457.24

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Solution

The fourth proportional to 822.76, 1,233.42 and 457.24 is: 685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.76 : 1,233.42 = 457.24 : x
  2. Step 2: Convert to fraction form
    822.76/1,233.42 = 457.24/x
  3. Step 3: Cross multiply
    822.76x = 1,233.42 × 457.24
  4. Step 4: Simplify right side
    822.76x = 563,968.96
  5. Step 5: Solve for x
    x = 563,968.96/822.76
  6. Step 6: Final answer
    x = 685.46

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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.