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Finding the Fourth Proportional to 571.14, 853.68 and 397.14

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Solution

The fourth proportional to 571.14, 853.68 and 397.14 is: 593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.14 : 853.68 = 397.14 : x
  2. Step 2: Convert to fraction form
    571.14/853.68 = 397.14/x
  3. Step 3: Cross multiply
    571.14x = 853.68 × 397.14
  4. Step 4: Simplify right side
    571.14x = 339,030.48
  5. Step 5: Solve for x
    x = 339,030.48/571.14
  6. Step 6: Final answer
    x = 593.60

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.