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Finding the Fourth Proportional to 524.73, 724.12 and 288.67

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Solution

The fourth proportional to 524.73, 724.12 and 288.67 is: 398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.73 : 724.12 = 288.67 : x
  2. Step 2: Convert to fraction form
    524.73/724.12 = 288.67/x
  3. Step 3: Cross multiply
    524.73x = 724.12 × 288.67
  4. Step 4: Simplify right side
    524.73x = 209,031.72
  5. Step 5: Solve for x
    x = 209,031.72/524.73
  6. Step 6: Final answer
    x = 398.36

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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.