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Finding the Fourth Proportional to 566.33, 781.64 and 330.25

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Solution

The fourth proportional to 566.33, 781.64 and 330.25 is: 455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.33 : 781.64 = 330.25 : x
  2. Step 2: Convert to fraction form
    566.33/781.64 = 330.25/x
  3. Step 3: Cross multiply
    566.33x = 781.64 × 330.25
  4. Step 4: Simplify right side
    566.33x = 258,131.05
  5. Step 5: Solve for x
    x = 258,131.05/566.33
  6. Step 6: Final answer
    x = 455.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.