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Finding the Fourth Proportional to 654.34, 902.01 and 537.70

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Solution

The fourth proportional to 654.34, 902.01 and 537.70 is: 741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.34 : 902.01 = 537.70 : x
  2. Step 2: Convert to fraction form
    654.34/902.01 = 537.70/x
  3. Step 3: Cross multiply
    654.34x = 902.01 × 537.70
  4. Step 4: Simplify right side
    654.34x = 485,010.78
  5. Step 5: Solve for x
    x = 485,010.78/654.34
  6. Step 6: Final answer
    x = 741.22

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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.