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Finding the Fourth Proportional to 832.96, 1,248.36 and 820

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Solution

The fourth proportional to 832.96, 1,248.36 and 820 is: 1,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.96 : 1,248.36 = 820 : x
  2. Step 2: Convert to fraction form
    832.96/1,248.36 = 820/x
  3. Step 3: Cross multiply
    832.96x = 1,248.36 × 820
  4. Step 4: Simplify right side
    832.96x = 1,023,655.20
  5. Step 5: Solve for x
    x = 1,023,655.20/832.96
  6. Step 6: Final answer
    x = 1,228.94

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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.