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Finding the Fourth Proportional to 815.16, 1,225.44 and 632.64

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Solution

The fourth proportional to 815.16, 1,225.44 and 632.64 is: 951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.16 : 1,225.44 = 632.64 : x
  2. Step 2: Convert to fraction form
    815.16/1,225.44 = 632.64/x
  3. Step 3: Cross multiply
    815.16x = 1,225.44 × 632.64
  4. Step 4: Simplify right side
    815.16x = 775,262.36
  5. Step 5: Solve for x
    x = 775,262.36/815.16
  6. Step 6: Final answer
    x = 951.06

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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.