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Finding the Fourth Proportional to 856.02, 1,282.29 and 682.98

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Solution

The fourth proportional to 856.02, 1,282.29 and 682.98 is: 1,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.02 : 1,282.29 = 682.98 : x
  2. Step 2: Convert to fraction form
    856.02/1,282.29 = 682.98/x
  3. Step 3: Cross multiply
    856.02x = 1,282.29 × 682.98
  4. Step 4: Simplify right side
    856.02x = 875,778.42
  5. Step 5: Solve for x
    x = 875,778.42/856.02
  6. Step 6: Final answer
    x = 1,023.08

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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.