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Finding the Fourth Proportional to 902.72, 1,244.93 and 570.57

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Solution

The fourth proportional to 902.72, 1,244.93 and 570.57 is: 786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.72 : 1,244.93 = 570.57 : x
  2. Step 2: Convert to fraction form
    902.72/1,244.93 = 570.57/x
  3. Step 3: Cross multiply
    902.72x = 1,244.93 × 570.57
  4. Step 4: Simplify right side
    902.72x = 710,319.71
  5. Step 5: Solve for x
    x = 710,319.71/902.72
  6. Step 6: Final answer
    x = 786.87

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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.