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Finding the Fourth Proportional to 507.52, 761.27 and 233.57

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Solution

The fourth proportional to 507.52, 761.27 and 233.57 is: 350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.52 : 761.27 = 233.57 : x
  2. Step 2: Convert to fraction form
    507.52/761.27 = 233.57/x
  3. Step 3: Cross multiply
    507.52x = 761.27 × 233.57
  4. Step 4: Simplify right side
    507.52x = 177,806.29
  5. Step 5: Solve for x
    x = 177,806.29/507.52
  6. Step 6: Final answer
    x = 350.35

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Double scale
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Similar ratio
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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.