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Finding the Fourth Proportional to 902.06, 1,244.89 and 509.07

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Solution

The fourth proportional to 902.06, 1,244.89 and 509.07 is: 702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.06 : 1,244.89 = 509.07 : x
  2. Step 2: Convert to fraction form
    902.06/1,244.89 = 509.07/x
  3. Step 3: Cross multiply
    902.06x = 1,244.89 × 509.07
  4. Step 4: Simplify right side
    902.06x = 633,736.15
  5. Step 5: Solve for x
    x = 633,736.15/902.06
  6. Step 6: Final answer
    x = 702.54

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1.5x scale

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.