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Finding the Fourth Proportional to 569.52, 785.36 and 451.31

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Solution

The fourth proportional to 569.52, 785.36 and 451.31 is: 622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.52 : 785.36 = 451.31 : x
  2. Step 2: Convert to fraction form
    569.52/785.36 = 451.31/x
  3. Step 3: Cross multiply
    569.52x = 785.36 × 451.31
  4. Step 4: Simplify right side
    569.52x = 354,434.64
  5. Step 5: Solve for x
    x = 354,434.64/569.52
  6. Step 6: Final answer
    x = 622.34

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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.