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Finding the Fourth Proportional to 535.34, 735.72 and 418.70

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Solution

The fourth proportional to 535.34, 735.72 and 418.70 is: 575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.34 : 735.72 = 418.70 : x
  2. Step 2: Convert to fraction form
    535.34/735.72 = 418.70/x
  3. Step 3: Cross multiply
    535.34x = 735.72 × 418.70
  4. Step 4: Simplify right side
    535.34x = 308,045.96
  5. Step 5: Solve for x
    x = 308,045.96/535.34
  6. Step 6: Final answer
    x = 575.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.