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Finding the Fourth Proportional to 524.51, 724.11 and 367.62

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Solution

The fourth proportional to 524.51, 724.11 and 367.62 is: 507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.51 : 724.11 = 367.62 : x
  2. Step 2: Convert to fraction form
    524.51/724.11 = 367.62/x
  3. Step 3: Cross multiply
    524.51x = 724.11 × 367.62
  4. Step 4: Simplify right side
    524.51x = 266,195.48
  5. Step 5: Solve for x
    x = 266,195.48/524.51
  6. Step 6: Final answer
    x = 507.52

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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.