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Finding the Fourth Proportional to 902.50, 1,244.97 and 570.81

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Solution

The fourth proportional to 902.50, 1,244.97 and 570.81 is: 787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.50 : 1,244.97 = 570.81 : x
  2. Step 2: Convert to fraction form
    902.50/1,244.97 = 570.81/x
  3. Step 3: Cross multiply
    902.50x = 1,244.97 × 570.81
  4. Step 4: Simplify right side
    902.50x = 710,641.33
  5. Step 5: Solve for x
    x = 710,641.33/902.50
  6. Step 6: Final answer
    x = 787.41

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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.