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Finding the Fourth Proportional to 523.89, 722.88 and 392.67

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Solution

The fourth proportional to 523.89, 722.88 and 392.67 is: 541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.89 : 722.88 = 392.67 : x
  2. Step 2: Convert to fraction form
    523.89/722.88 = 392.67/x
  3. Step 3: Cross multiply
    523.89x = 722.88 × 392.67
  4. Step 4: Simplify right side
    523.89x = 283,853.29
  5. Step 5: Solve for x
    x = 283,853.29/523.89
  6. Step 6: Final answer
    x = 541.82

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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.