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Finding the Fourth Proportional to 820.32, 1,228.34 and 712.14

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Solution

The fourth proportional to 820.32, 1,228.34 and 712.14 is: 1,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.32 : 1,228.34 = 712.14 : x
  2. Step 2: Convert to fraction form
    820.32/1,228.34 = 712.14/x
  3. Step 3: Cross multiply
    820.32x = 1,228.34 × 712.14
  4. Step 4: Simplify right side
    820.32x = 874,750.05
  5. Step 5: Solve for x
    x = 874,750.05/820.32
  6. Step 6: Final answer
    x = 1,066.35

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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.