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Finding the Fourth Proportional to 815.28, 1,223.28 and 572.64

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Solution

The fourth proportional to 815.28, 1,223.28 and 572.64 is: 859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.28 : 1,223.28 = 572.64 : x
  2. Step 2: Convert to fraction form
    815.28/1,223.28 = 572.64/x
  3. Step 3: Cross multiply
    815.28x = 1,223.28 × 572.64
  4. Step 4: Simplify right side
    815.28x = 700,499.06
  5. Step 5: Solve for x
    x = 700,499.06/815.28
  6. Step 6: Final answer
    x = 859.21

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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.