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Finding the Fourth Proportional to 803.09, 1,106.95 and 537.44

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Solution

The fourth proportional to 803.09, 1,106.95 and 537.44 is: 740.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.09 : 1,106.95 = 537.44 : x
  2. Step 2: Convert to fraction form
    803.09/1,106.95 = 537.44/x
  3. Step 3: Cross multiply
    803.09x = 1,106.95 × 537.44
  4. Step 4: Simplify right side
    803.09x = 594,920.63
  5. Step 5: Solve for x
    x = 594,920.63/803.09
  6. Step 6: Final answer
    x = 740.79

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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.