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Finding the Fourth Proportional to 803.25, 1,204.14 and 290.13

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Solution

The fourth proportional to 803.25, 1,204.14 and 290.13 is: 434.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.25 : 1,204.14 = 290.13 : x
  2. Step 2: Convert to fraction form
    803.25/1,204.14 = 290.13/x
  3. Step 3: Cross multiply
    803.25x = 1,204.14 × 290.13
  4. Step 4: Simplify right side
    803.25x = 349,357.14
  5. Step 5: Solve for x
    x = 349,357.14/803.25
  6. Step 6: Final answer
    x = 434.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.