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Finding the Fourth Proportional to 901.92, 1,244.73 and 509.01

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Solution

The fourth proportional to 901.92, 1,244.73 and 509.01 is: 702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.92 : 1,244.73 = 509.01 : x
  2. Step 2: Convert to fraction form
    901.92/1,244.73 = 509.01/x
  3. Step 3: Cross multiply
    901.92x = 1,244.73 × 509.01
  4. Step 4: Simplify right side
    901.92x = 633,580.02
  5. Step 5: Solve for x
    x = 633,580.02/901.92
  6. Step 6: Final answer
    x = 702.48

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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.