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Finding the Fourth Proportional to 570.29, 853.99 and 387.13

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Solution

The fourth proportional to 570.29, 853.99 and 387.13 is: 579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.29 : 853.99 = 387.13 : x
  2. Step 2: Convert to fraction form
    570.29/853.99 = 387.13/x
  3. Step 3: Cross multiply
    570.29x = 853.99 × 387.13
  4. Step 4: Simplify right side
    570.29x = 330,605.82
  5. Step 5: Solve for x
    x = 330,605.82/570.29
  6. Step 6: Final answer
    x = 579.71

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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.