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Finding the Fourth Proportional to 553.26, 763.54 and 320.42

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Solution

The fourth proportional to 553.26, 763.54 and 320.42 is: 442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.26 : 763.54 = 320.42 : x
  2. Step 2: Convert to fraction form
    553.26/763.54 = 320.42/x
  3. Step 3: Cross multiply
    553.26x = 763.54 × 320.42
  4. Step 4: Simplify right side
    553.26x = 244,653.49
  5. Step 5: Solve for x
    x = 244,653.49/553.26
  6. Step 6: Final answer
    x = 442.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.