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Finding the Fourth Proportional to 622.83, 859.55 and 360.85

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Solution

The fourth proportional to 622.83, 859.55 and 360.85 is: 497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.83 : 859.55 = 360.85 : x
  2. Step 2: Convert to fraction form
    622.83/859.55 = 360.85/x
  3. Step 3: Cross multiply
    622.83x = 859.55 × 360.85
  4. Step 4: Simplify right side
    622.83x = 310,167.37
  5. Step 5: Solve for x
    x = 310,167.37/622.83
  6. Step 6: Final answer
    x = 497.99

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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.