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Finding the Fourth Proportional to 654.32, 901.74 and 444.50

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Solution

The fourth proportional to 654.32, 901.74 and 444.50 is: 612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.32 : 901.74 = 444.50 : x
  2. Step 2: Convert to fraction form
    654.32/901.74 = 444.50/x
  3. Step 3: Cross multiply
    654.32x = 901.74 × 444.50
  4. Step 4: Simplify right side
    654.32x = 400,823.05
  5. Step 5: Solve for x
    x = 400,823.05/654.32
  6. Step 6: Final answer
    x = 612.58

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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.