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Finding the Fourth Proportional to 822.95, 1,231.17 and 457.98

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Solution

The fourth proportional to 822.95, 1,231.17 and 457.98 is: 685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.95 : 1,231.17 = 457.98 : x
  2. Step 2: Convert to fraction form
    822.95/1,231.17 = 457.98/x
  3. Step 3: Cross multiply
    822.95x = 1,231.17 × 457.98
  4. Step 4: Simplify right side
    822.95x = 563,851.24
  5. Step 5: Solve for x
    x = 563,851.24/822.95
  6. Step 6: Final answer
    x = 685.16

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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.