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Finding the Fourth Proportional to 803.51, 1,109.04 and 524.44

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Solution

The fourth proportional to 803.51, 1,109.04 and 524.44 is: 723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.51 : 1,109.04 = 524.44 : x
  2. Step 2: Convert to fraction form
    803.51/1,109.04 = 524.44/x
  3. Step 3: Cross multiply
    803.51x = 1,109.04 × 524.44
  4. Step 4: Simplify right side
    803.51x = 581,619.39
  5. Step 5: Solve for x
    x = 581,619.39/803.51
  6. Step 6: Final answer
    x = 723.85

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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.