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Finding the Fourth Proportional to 506.24, 755.15 and 497.88

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Solution

The fourth proportional to 506.24, 755.15 and 497.88 is: 742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.24 : 755.15 = 497.88 : x
  2. Step 2: Convert to fraction form
    506.24/755.15 = 497.88/x
  3. Step 3: Cross multiply
    506.24x = 755.15 × 497.88
  4. Step 4: Simplify right side
    506.24x = 375,971.59
  5. Step 5: Solve for x
    x = 375,971.59/506.24
  6. Step 6: Final answer
    x = 742.67

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.