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Finding the Fourth Proportional to 803.82, 1,109.39 and 509.11

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Solution

The fourth proportional to 803.82, 1,109.39 and 509.11 is: 702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.82 : 1,109.39 = 509.11 : x
  2. Step 2: Convert to fraction form
    803.82/1,109.39 = 509.11/x
  3. Step 3: Cross multiply
    803.82x = 1,109.39 × 509.11
  4. Step 4: Simplify right side
    803.82x = 564,803.04
  5. Step 5: Solve for x
    x = 564,803.04/803.82
  6. Step 6: Final answer
    x = 702.65

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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.