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Finding the Fourth Proportional to 566.20, 781.47 and 330.20

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Solution

The fourth proportional to 566.20, 781.47 and 330.20 is: 455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.20 : 781.47 = 330.20 : x
  2. Step 2: Convert to fraction form
    566.20/781.47 = 330.20/x
  3. Step 3: Cross multiply
    566.20x = 781.47 × 330.20
  4. Step 4: Simplify right side
    566.20x = 258,039.74
  5. Step 5: Solve for x
    x = 258,039.74/566.20
  6. Step 6: Final answer
    x = 455.74

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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.