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Finding the Fourth Proportional to 553.64, 763.86 and 379.16

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Solution

The fourth proportional to 553.64, 763.86 and 379.16 is: 523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.64 : 763.86 = 379.16 : x
  2. Step 2: Convert to fraction form
    553.64/763.86 = 379.16/x
  3. Step 3: Cross multiply
    553.64x = 763.86 × 379.16
  4. Step 4: Simplify right side
    553.64x = 289,625.16
  5. Step 5: Solve for x
    x = 289,625.16/553.64
  6. Step 6: Final answer
    x = 523.13

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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.