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Finding the Fourth Proportional to 563.93, 845.78 and 153.08

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Solution

The fourth proportional to 563.93, 845.78 and 153.08 is: 229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.93 : 845.78 = 153.08 : x
  2. Step 2: Convert to fraction form
    563.93/845.78 = 153.08/x
  3. Step 3: Cross multiply
    563.93x = 845.78 × 153.08
  4. Step 4: Simplify right side
    563.93x = 129,467.01
  5. Step 5: Solve for x
    x = 129,467.01/563.93
  6. Step 6: Final answer
    x = 229.58

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Double scale
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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.