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Finding the Fourth Proportional to 622.48, 859.38 and 431.20

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Solution

The fourth proportional to 622.48, 859.38 and 431.20 is: 595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.48 : 859.38 = 431.20 : x
  2. Step 2: Convert to fraction form
    622.48/859.38 = 431.20/x
  3. Step 3: Cross multiply
    622.48x = 859.38 × 431.20
  4. Step 4: Simplify right side
    622.48x = 370,564.66
  5. Step 5: Solve for x
    x = 370,564.66/622.48
  6. Step 6: Final answer
    x = 595.30

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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.