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Finding the Fourth Proportional to 570.78, 856.07 and 159.91

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Solution

The fourth proportional to 570.78, 856.07 and 159.91 is: 239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.78 : 856.07 = 159.91 : x
  2. Step 2: Convert to fraction form
    570.78/856.07 = 159.91/x
  3. Step 3: Cross multiply
    570.78x = 856.07 × 159.91
  4. Step 4: Simplify right side
    570.78x = 136,891.81
  5. Step 5: Solve for x
    x = 136,891.81/570.78
  6. Step 6: Final answer
    x = 239.83

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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.