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Finding the Fourth Proportional to 570.17, 853.61 and 335.21

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Solution

The fourth proportional to 570.17, 853.61 and 335.21 is: 501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.17 : 853.61 = 335.21 : x
  2. Step 2: Convert to fraction form
    570.17/853.61 = 335.21/x
  3. Step 3: Cross multiply
    570.17x = 853.61 × 335.21
  4. Step 4: Simplify right side
    570.17x = 286,132.66
  5. Step 5: Solve for x
    x = 286,132.66/570.17
  6. Step 6: Final answer
    x = 501.84

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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.