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Finding the Fourth Proportional to 622.30, 858.62 and 412.78

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Solution

The fourth proportional to 622.30, 858.62 and 412.78 is: 569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.30 : 858.62 = 412.78 : x
  2. Step 2: Convert to fraction form
    622.30/858.62 = 412.78/x
  3. Step 3: Cross multiply
    622.30x = 858.62 × 412.78
  4. Step 4: Simplify right side
    622.30x = 354,421.16
  5. Step 5: Solve for x
    x = 354,421.16/622.30
  6. Step 6: Final answer
    x = 569.53

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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.