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Finding the Fourth Proportional to 654.32, 901.32 and 612.56

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Solution

The fourth proportional to 654.32, 901.32 and 612.56 is: 843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.32 : 901.32 = 612.56 : x
  2. Step 2: Convert to fraction form
    654.32/901.32 = 612.56/x
  3. Step 3: Cross multiply
    654.32x = 901.32 × 612.56
  4. Step 4: Simplify right side
    654.32x = 552,112.58
  5. Step 5: Solve for x
    x = 552,112.58/654.32
  6. Step 6: Final answer
    x = 843.80

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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.