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Finding the Fourth Proportional to 523.67, 723.62 and 498.37

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Solution

The fourth proportional to 523.67, 723.62 and 498.37 is: 688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.67 : 723.62 = 498.37 : x
  2. Step 2: Convert to fraction form
    523.67/723.62 = 498.37/x
  3. Step 3: Cross multiply
    523.67x = 723.62 × 498.37
  4. Step 4: Simplify right side
    523.67x = 360,630.50
  5. Step 5: Solve for x
    x = 360,630.50/523.67
  6. Step 6: Final answer
    x = 688.66

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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.