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Finding the Fourth Proportional to 711.09, 1,064.36 and 381.57

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Solution

The fourth proportional to 711.09, 1,064.36 and 381.57 is: 571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.09 : 1,064.36 = 381.57 : x
  2. Step 2: Convert to fraction form
    711.09/1,064.36 = 381.57/x
  3. Step 3: Cross multiply
    711.09x = 1,064.36 × 381.57
  4. Step 4: Simplify right side
    711.09x = 406,127.85
  5. Step 5: Solve for x
    x = 406,127.85/711.09
  6. Step 6: Final answer
    x = 571.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.