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Finding the Fourth Proportional to 535.57, 739.08 and 302.69

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Solution

The fourth proportional to 535.57, 739.08 and 302.69 is: 417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.57 : 739.08 = 302.69 : x
  2. Step 2: Convert to fraction form
    535.57/739.08 = 302.69/x
  3. Step 3: Cross multiply
    535.57x = 739.08 × 302.69
  4. Step 4: Simplify right side
    535.57x = 223,712.13
  5. Step 5: Solve for x
    x = 223,712.13/535.57
  6. Step 6: Final answer
    x = 417.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.