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Finding the Fourth Proportional to 601.25, 902.04 and 498.22

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Solution

The fourth proportional to 601.25, 902.04 and 498.22 is: 747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.25 : 902.04 = 498.22 : x
  2. Step 2: Convert to fraction form
    601.25/902.04 = 498.22/x
  3. Step 3: Cross multiply
    601.25x = 902.04 × 498.22
  4. Step 4: Simplify right side
    601.25x = 449,410.25
  5. Step 5: Solve for x
    x = 449,410.25/601.25
  6. Step 6: Final answer
    x = 747.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.