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Finding the Fourth Proportional to 902.48, 1,357.82 and 537.53

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Solution

The fourth proportional to 902.48, 1,357.82 and 537.53 is: 808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.48 : 1,357.82 = 537.53 : x
  2. Step 2: Convert to fraction form
    902.48/1,357.82 = 537.53/x
  3. Step 3: Cross multiply
    902.48x = 1,357.82 × 537.53
  4. Step 4: Simplify right side
    902.48x = 729,859.51
  5. Step 5: Solve for x
    x = 729,859.51/902.48
  6. Step 6: Final answer
    x = 808.73

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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.