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Finding the Fourth Proportional to 856.77, 1,285.42 and 709.85

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Solution

The fourth proportional to 856.77, 1,285.42 and 709.85 is: 1,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.77 : 1,285.42 = 709.85 : x
  2. Step 2: Convert to fraction form
    856.77/1,285.42 = 709.85/x
  3. Step 3: Cross multiply
    856.77x = 1,285.42 × 709.85
  4. Step 4: Simplify right side
    856.77x = 912,456.35
  5. Step 5: Solve for x
    x = 912,456.35/856.77
  6. Step 6: Final answer
    x = 1,065.00

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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.