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Finding the Fourth Proportional to 901.72, 1,245.54 and 819.64

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Solution

The fourth proportional to 901.72, 1,245.54 and 819.64 is: 1,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.72 : 1,245.54 = 819.64 : x
  2. Step 2: Convert to fraction form
    901.72/1,245.54 = 819.64/x
  3. Step 3: Cross multiply
    901.72x = 1,245.54 × 819.64
  4. Step 4: Simplify right side
    901.72x = 1,020,894.41
  5. Step 5: Solve for x
    x = 1,020,894.41/901.72
  6. Step 6: Final answer
    x = 1,132.16

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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.