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Finding the Fourth Proportional to 570.35, 853.61 and 409.11

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Solution

The fourth proportional to 570.35, 853.61 and 409.11 is: 612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.35 : 853.61 = 409.11 : x
  2. Step 2: Convert to fraction form
    570.35/853.61 = 409.11/x
  3. Step 3: Cross multiply
    570.35x = 853.61 × 409.11
  4. Step 4: Simplify right side
    570.35x = 349,218.34
  5. Step 5: Solve for x
    x = 349,218.34/570.35
  6. Step 6: Final answer
    x = 612.29

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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.