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Finding the Fourth Proportional to 566.21, 781.80 and 456.20

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Solution

The fourth proportional to 566.21, 781.80 and 456.20 is: 629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.21 : 781.80 = 456.20 : x
  2. Step 2: Convert to fraction form
    566.21/781.80 = 456.20/x
  3. Step 3: Cross multiply
    566.21x = 781.80 × 456.20
  4. Step 4: Simplify right side
    566.21x = 356,657.16
  5. Step 5: Solve for x
    x = 356,657.16/566.21
  6. Step 6: Final answer
    x = 629.90

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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.