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Finding the Fourth Proportional to 566.39, 780.80 and 397.83

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Solution

The fourth proportional to 566.39, 780.80 and 397.83 is: 548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.39 : 780.80 = 397.83 : x
  2. Step 2: Convert to fraction form
    566.39/780.80 = 397.83/x
  3. Step 3: Cross multiply
    566.39x = 780.80 × 397.83
  4. Step 4: Simplify right side
    566.39x = 310,619.77
  5. Step 5: Solve for x
    x = 310,619.77/566.39
  6. Step 6: Final answer
    x = 548.43

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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.