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Finding the Fourth Proportional to 570.22, 853.14 and 432.82

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Solution

The fourth proportional to 570.22, 853.14 and 432.82 is: 647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.22 : 853.14 = 432.82 : x
  2. Step 2: Convert to fraction form
    570.22/853.14 = 432.82/x
  3. Step 3: Cross multiply
    570.22x = 853.14 × 432.82
  4. Step 4: Simplify right side
    570.22x = 369,256.05
  5. Step 5: Solve for x
    x = 369,256.05/570.22
  6. Step 6: Final answer
    x = 647.57

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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.