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Finding the Fourth Proportional to 524.37, 723.61 and 314.67

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Solution

The fourth proportional to 524.37, 723.61 and 314.67 is: 434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.37 : 723.61 = 314.67 : x
  2. Step 2: Convert to fraction form
    524.37/723.61 = 314.67/x
  3. Step 3: Cross multiply
    524.37x = 723.61 × 314.67
  4. Step 4: Simplify right side
    524.37x = 227,697.57
  5. Step 5: Solve for x
    x = 227,697.57/524.37
  6. Step 6: Final answer
    x = 434.23

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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.