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Finding the Fourth Proportional to 553.78, 763.68 and 357.40

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Solution

The fourth proportional to 553.78, 763.68 and 357.40 is: 492.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.78 : 763.68 = 357.40 : x
  2. Step 2: Convert to fraction form
    553.78/763.68 = 357.40/x
  3. Step 3: Cross multiply
    553.78x = 763.68 × 357.40
  4. Step 4: Simplify right side
    553.78x = 272,939.23
  5. Step 5: Solve for x
    x = 272,939.23/553.78
  6. Step 6: Final answer
    x = 492.87

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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.