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Finding the Fourth Proportional to 816.02, 1,222.49 and 632.52

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Solution

The fourth proportional to 816.02, 1,222.49 and 632.52 is: 947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.02 : 1,222.49 = 632.52 : x
  2. Step 2: Convert to fraction form
    816.02/1,222.49 = 632.52/x
  3. Step 3: Cross multiply
    816.02x = 1,222.49 × 632.52
  4. Step 4: Simplify right side
    816.02x = 773,246.32
  5. Step 5: Solve for x
    x = 773,246.32/816.02
  6. Step 6: Final answer
    x = 947.58

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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.