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Finding the Fourth Proportional to 601.80, 902.90 and 537.28

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Solution

The fourth proportional to 601.80, 902.90 and 537.28 is: 806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.80 : 902.90 = 537.28 : x
  2. Step 2: Convert to fraction form
    601.80/902.90 = 537.28/x
  3. Step 3: Cross multiply
    601.80x = 902.90 × 537.28
  4. Step 4: Simplify right side
    601.80x = 485,110.11
  5. Step 5: Solve for x
    x = 485,110.11/601.80
  6. Step 6: Final answer
    x = 806.10

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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.