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Finding the Fourth Proportional to 622.10, 858.24 and 401.17

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Solution

The fourth proportional to 622.10, 858.24 and 401.17 is: 553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.10 : 858.24 = 401.17 : x
  2. Step 2: Convert to fraction form
    622.10/858.24 = 401.17/x
  3. Step 3: Cross multiply
    622.10x = 858.24 × 401.17
  4. Step 4: Simplify right side
    622.10x = 344,300.14
  5. Step 5: Solve for x
    x = 344,300.14/622.10
  6. Step 6: Final answer
    x = 553.45

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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.