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Finding the Fourth Proportional to 570.65, 855.99 and 159.77

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Solution

The fourth proportional to 570.65, 855.99 and 159.77 is: 239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.65 : 855.99 = 159.77 : x
  2. Step 2: Convert to fraction form
    570.65/855.99 = 159.77/x
  3. Step 3: Cross multiply
    570.65x = 855.99 × 159.77
  4. Step 4: Simplify right side
    570.65x = 136,757.24
  5. Step 5: Solve for x
    x = 136,757.24/570.65
  6. Step 6: Final answer
    x = 239.65

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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.