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Finding the Fourth Proportional to 564.80, 780.72 and 519.44

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Solution

The fourth proportional to 564.80, 780.72 and 519.44 is: 718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.80 : 780.72 = 519.44 : x
  2. Step 2: Convert to fraction form
    564.80/780.72 = 519.44/x
  3. Step 3: Cross multiply
    564.80x = 780.72 × 519.44
  4. Step 4: Simplify right side
    564.80x = 405,537.20
  5. Step 5: Solve for x
    x = 405,537.20/564.80
  6. Step 6: Final answer
    x = 718.02

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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.