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Finding the Fourth Proportional to 523.65, 722.48 and 313.74

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Solution

The fourth proportional to 523.65, 722.48 and 313.74 is: 432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.65 : 722.48 = 313.74 : x
  2. Step 2: Convert to fraction form
    523.65/722.48 = 313.74/x
  3. Step 3: Cross multiply
    523.65x = 722.48 × 313.74
  4. Step 4: Simplify right side
    523.65x = 226,670.88
  5. Step 5: Solve for x
    x = 226,670.88/523.65
  6. Step 6: Final answer
    x = 432.87

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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.