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Finding the Fourth Proportional to 856.85, 1,285.74 and 563.63

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Solution

The fourth proportional to 856.85, 1,285.74 and 563.63 is: 845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.85 : 1,285.74 = 563.63 : x
  2. Step 2: Convert to fraction form
    856.85/1,285.74 = 563.63/x
  3. Step 3: Cross multiply
    856.85x = 1,285.74 × 563.63
  4. Step 4: Simplify right side
    856.85x = 724,675.21
  5. Step 5: Solve for x
    x = 724,675.21/856.85
  6. Step 6: Final answer
    x = 845.75

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1.5x scale

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.