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Finding the Fourth Proportional to 622.13, 859.14 and 412.20

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Solution

The fourth proportional to 622.13, 859.14 and 412.20 is: 569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.13 : 859.14 = 412.20 : x
  2. Step 2: Convert to fraction form
    622.13/859.14 = 412.20/x
  3. Step 3: Cross multiply
    622.13x = 859.14 × 412.20
  4. Step 4: Simplify right side
    622.13x = 354,137.51
  5. Step 5: Solve for x
    x = 354,137.51/622.13
  6. Step 6: Final answer
    x = 569.24

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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.