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Finding the Fourth Proportional to 824.86, 1,237.53 and 338.26

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Solution

The fourth proportional to 824.86, 1,237.53 and 338.26 is: 507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.86 : 1,237.53 = 338.26 : x
  2. Step 2: Convert to fraction form
    824.86/1,237.53 = 338.26/x
  3. Step 3: Cross multiply
    824.86x = 1,237.53 × 338.26
  4. Step 4: Simplify right side
    824.86x = 418,608.72
  5. Step 5: Solve for x
    x = 418,608.72/824.86
  6. Step 6: Final answer
    x = 507.49

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1.5x scale

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.