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Finding the Fourth Proportional to 822.76, 1,237.98 and 669.16

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Solution

The fourth proportional to 822.76, 1,237.98 and 669.16 is: 1,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.76 : 1,237.98 = 669.16 : x
  2. Step 2: Convert to fraction form
    822.76/1,237.98 = 669.16/x
  3. Step 3: Cross multiply
    822.76x = 1,237.98 × 669.16
  4. Step 4: Simplify right side
    822.76x = 828,406.70
  5. Step 5: Solve for x
    x = 828,406.70/822.76
  6. Step 6: Final answer
    x = 1,006.86

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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.