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Finding the Fourth Proportional to 1,228.25, 1,842.46 and 534.96

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Solution

The fourth proportional to 1,228.25, 1,842.46 and 534.96 is: 802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.25 : 1,842.46 = 534.96 : x
  2. Step 2: Convert to fraction form
    1,228.25/1,842.46 = 534.96/x
  3. Step 3: Cross multiply
    1,228.25x = 1,842.46 × 534.96
  4. Step 4: Simplify right side
    1,228.25x = 985,641.06
  5. Step 5: Solve for x
    x = 985,641.06/1,228.25
  6. Step 6: Final answer
    x = 802.47

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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.