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Finding the Fourth Proportional to 816.47, 1,223.16 and 632.96

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Solution

The fourth proportional to 816.47, 1,223.16 and 632.96 is: 948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.47 : 1,223.16 = 632.96 : x
  2. Step 2: Convert to fraction form
    816.47/1,223.16 = 632.96/x
  3. Step 3: Cross multiply
    816.47x = 1,223.16 × 632.96
  4. Step 4: Simplify right side
    816.47x = 774,212.83
  5. Step 5: Solve for x
    x = 774,212.83/816.47
  6. Step 6: Final answer
    x = 948.25

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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.