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Finding the Fourth Proportional to 622.83, 858.96 and 401.70

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Solution

The fourth proportional to 622.83, 858.96 and 401.70 is: 553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.83 : 858.96 = 401.70 : x
  2. Step 2: Convert to fraction form
    622.83/858.96 = 401.70/x
  3. Step 3: Cross multiply
    622.83x = 858.96 × 401.70
  4. Step 4: Simplify right side
    622.83x = 345,044.23
  5. Step 5: Solve for x
    x = 345,044.23/622.83
  6. Step 6: Final answer
    x = 553.99

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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.