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Finding the Fourth Proportional to 553.30, 763.05 and 378.70

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Solution

The fourth proportional to 553.30, 763.05 and 378.70 is: 522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.30 : 763.05 = 378.70 : x
  2. Step 2: Convert to fraction form
    553.30/763.05 = 378.70/x
  3. Step 3: Cross multiply
    553.30x = 763.05 × 378.70
  4. Step 4: Simplify right side
    553.30x = 288,967.04
  5. Step 5: Solve for x
    x = 288,967.04/553.30
  6. Step 6: Final answer
    x = 522.26

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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.