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Finding the Fourth Proportional to 524.41, 723.50 and 314.65

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Solution

The fourth proportional to 524.41, 723.50 and 314.65 is: 434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.41 : 723.50 = 314.65 : x
  2. Step 2: Convert to fraction form
    524.41/723.50 = 314.65/x
  3. Step 3: Cross multiply
    524.41x = 723.50 × 314.65
  4. Step 4: Simplify right side
    524.41x = 227,649.28
  5. Step 5: Solve for x
    x = 227,649.28/524.41
  6. Step 6: Final answer
    x = 434.11

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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.