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Finding the Fourth Proportional to 856.76, 1,285.12 and 344.12

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Solution

The fourth proportional to 856.76, 1,285.12 and 344.12 is: 516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.76 : 1,285.12 = 344.12 : x
  2. Step 2: Convert to fraction form
    856.76/1,285.12 = 344.12/x
  3. Step 3: Cross multiply
    856.76x = 1,285.12 × 344.12
  4. Step 4: Simplify right side
    856.76x = 442,235.49
  5. Step 5: Solve for x
    x = 442,235.49/856.76
  6. Step 6: Final answer
    x = 516.17

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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.