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Finding the Fourth Proportional to 1,203.69, 1,805.80 and 434.19

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Solution

The fourth proportional to 1,203.69, 1,805.80 and 434.19 is: 651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.69 : 1,805.80 = 434.19 : x
  2. Step 2: Convert to fraction form
    1,203.69/1,805.80 = 434.19/x
  3. Step 3: Cross multiply
    1,203.69x = 1,805.80 × 434.19
  4. Step 4: Simplify right side
    1,203.69x = 784,060.30
  5. Step 5: Solve for x
    x = 784,060.30/1,203.69
  6. Step 6: Final answer
    x = 651.38

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