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Finding the Fourth Proportional to 902.07, 1,244.25 and 570.18

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Solution

The fourth proportional to 902.07, 1,244.25 and 570.18 is: 786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.07 : 1,244.25 = 570.18 : x
  2. Step 2: Convert to fraction form
    902.07/1,244.25 = 570.18/x
  3. Step 3: Cross multiply
    902.07x = 1,244.25 × 570.18
  4. Step 4: Simplify right side
    902.07x = 709,446.47
  5. Step 5: Solve for x
    x = 709,446.47/902.07
  6. Step 6: Final answer
    x = 786.46

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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.