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Finding the Fourth Proportional to 902.15, 1,244.89 and 509.12

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Solution

The fourth proportional to 902.15, 1,244.89 and 509.12 is: 702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.15 : 1,244.89 = 509.12 : x
  2. Step 2: Convert to fraction form
    902.15/1,244.89 = 509.12/x
  3. Step 3: Cross multiply
    902.15x = 1,244.89 × 509.12
  4. Step 4: Simplify right side
    902.15x = 633,798.40
  5. Step 5: Solve for x
    x = 633,798.40/902.15
  6. Step 6: Final answer
    x = 702.54

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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.