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Finding the Fourth Proportional to 553.43, 830.21 and 279.47

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Solution

The fourth proportional to 553.43, 830.21 and 279.47 is: 419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.43 : 830.21 = 279.47 : x
  2. Step 2: Convert to fraction form
    553.43/830.21 = 279.47/x
  3. Step 3: Cross multiply
    553.43x = 830.21 × 279.47
  4. Step 4: Simplify right side
    553.43x = 232,013.24
  5. Step 5: Solve for x
    x = 232,013.24/553.43
  6. Step 6: Final answer
    x = 419.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.