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Finding the Fourth Proportional to 1,228.26, 1,842.40 and 458.76

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Solution

The fourth proportional to 1,228.26, 1,842.40 and 458.76 is: 688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.26 : 1,842.40 = 458.76 : x
  2. Step 2: Convert to fraction form
    1,228.26/1,842.40 = 458.76/x
  3. Step 3: Cross multiply
    1,228.26x = 1,842.40 × 458.76
  4. Step 4: Simplify right side
    1,228.26x = 845,219.42
  5. Step 5: Solve for x
    x = 845,219.42/1,228.26
  6. Step 6: Final answer
    x = 688.14

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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.