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Finding the Fourth Proportional to 902.23, 1,244.25 and 570.07

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Solution

The fourth proportional to 902.23, 1,244.25 and 570.07 is: 786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.23 : 1,244.25 = 570.07 : x
  2. Step 2: Convert to fraction form
    902.23/1,244.25 = 570.07/x
  3. Step 3: Cross multiply
    902.23x = 1,244.25 × 570.07
  4. Step 4: Simplify right side
    902.23x = 709,309.60
  5. Step 5: Solve for x
    x = 709,309.60/902.23
  6. Step 6: Final answer
    x = 786.17

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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.