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Finding the Fourth Proportional to 564.44, 780.23 and 433.22

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Solution

The fourth proportional to 564.44, 780.23 and 433.22 is: 598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.44 : 780.23 = 433.22 : x
  2. Step 2: Convert to fraction form
    564.44/780.23 = 433.22/x
  3. Step 3: Cross multiply
    564.44x = 780.23 × 433.22
  4. Step 4: Simplify right side
    564.44x = 338,008.42
  5. Step 5: Solve for x
    x = 338,008.42/564.44
  6. Step 6: Final answer
    x = 598.84

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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.