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Finding the Fourth Proportional to 564.34, 777.45 and 389.38

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Solution

The fourth proportional to 564.34, 777.45 and 389.38 is: 536.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.34 : 777.45 = 389.38 : x
  2. Step 2: Convert to fraction form
    564.34/777.45 = 389.38/x
  3. Step 3: Cross multiply
    564.34x = 777.45 × 389.38
  4. Step 4: Simplify right side
    564.34x = 302,723.48
  5. Step 5: Solve for x
    x = 302,723.48/564.34
  6. Step 6: Final answer
    x = 536.42

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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.