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Finding the Fourth Proportional to 819.35, 1,126.53 and 730.01

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Solution

The fourth proportional to 819.35, 1,126.53 and 730.01 is: 1,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.35 : 1,126.53 = 730.01 : x
  2. Step 2: Convert to fraction form
    819.35/1,126.53 = 730.01/x
  3. Step 3: Cross multiply
    819.35x = 1,126.53 × 730.01
  4. Step 4: Simplify right side
    819.35x = 822,372.53
  5. Step 5: Solve for x
    x = 822,372.53/819.35
  6. Step 6: Final answer
    x = 1,003.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.