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Finding the Fourth Proportional to 622.10, 858.52 and 412.64

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Solution

The fourth proportional to 622.10, 858.52 and 412.64 is: 569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.10 : 858.52 = 412.64 : x
  2. Step 2: Convert to fraction form
    622.10/858.52 = 412.64/x
  3. Step 3: Cross multiply
    622.10x = 858.52 × 412.64
  4. Step 4: Simplify right side
    622.10x = 354,259.69
  5. Step 5: Solve for x
    x = 354,259.69/622.10
  6. Step 6: Final answer
    x = 569.46

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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.