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Finding the Fourth Proportional to 856.04, 1,284.42 and 548.24

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Solution

The fourth proportional to 856.04, 1,284.42 and 548.24 is: 822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.04 : 1,284.42 = 548.24 : x
  2. Step 2: Convert to fraction form
    856.04/1,284.42 = 548.24/x
  3. Step 3: Cross multiply
    856.04x = 1,284.42 × 548.24
  4. Step 4: Simplify right side
    856.04x = 704,170.42
  5. Step 5: Solve for x
    x = 704,170.42/856.04
  6. Step 6: Final answer
    x = 822.59

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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.