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Finding the Fourth Proportional to 566.78, 781.97 and 318.06

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Solution

The fourth proportional to 566.78, 781.97 and 318.06 is: 438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.78 : 781.97 = 318.06 : x
  2. Step 2: Convert to fraction form
    566.78/781.97 = 318.06/x
  3. Step 3: Cross multiply
    566.78x = 781.97 × 318.06
  4. Step 4: Simplify right side
    566.78x = 248,711.79
  5. Step 5: Solve for x
    x = 248,711.79/566.78
  6. Step 6: Final answer
    x = 438.82

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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.