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Finding the Fourth Proportional to 856.10, 1,282.78 and 774.09

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Solution

The fourth proportional to 856.10, 1,282.78 and 774.09 is: 1,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.10 : 1,282.78 = 774.09 : x
  2. Step 2: Convert to fraction form
    856.10/1,282.78 = 774.09/x
  3. Step 3: Cross multiply
    856.10x = 1,282.78 × 774.09
  4. Step 4: Simplify right side
    856.10x = 992,985.96
  5. Step 5: Solve for x
    x = 992,985.96/856.10
  6. Step 6: Final answer
    x = 1,159.89

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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.