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Finding the Fourth Proportional to 622.30, 858.01 and 456.45

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Solution

The fourth proportional to 622.30, 858.01 and 456.45 is: 629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.30 : 858.01 = 456.45 : x
  2. Step 2: Convert to fraction form
    622.30/858.01 = 456.45/x
  3. Step 3: Cross multiply
    622.30x = 858.01 × 456.45
  4. Step 4: Simplify right side
    622.30x = 391,638.66
  5. Step 5: Solve for x
    x = 391,638.66/622.30
  6. Step 6: Final answer
    x = 629.34

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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.