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Finding the Fourth Proportional to 823.48, 1,237.02 and 669.64

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Solution

The fourth proportional to 823.48, 1,237.02 and 669.64 is: 1,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.48 : 1,237.02 = 669.64 : x
  2. Step 2: Convert to fraction form
    823.48/1,237.02 = 669.64/x
  3. Step 3: Cross multiply
    823.48x = 1,237.02 × 669.64
  4. Step 4: Simplify right side
    823.48x = 828,358.07
  5. Step 5: Solve for x
    x = 828,358.07/823.48
  6. Step 6: Final answer
    x = 1,005.92

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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.