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Finding the Fourth Proportional to 1,227.79, 1,841.15 and 457.75

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Solution

The fourth proportional to 1,227.79, 1,841.15 and 457.75 is: 686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.79 : 1,841.15 = 457.75 : x
  2. Step 2: Convert to fraction form
    1,227.79/1,841.15 = 457.75/x
  3. Step 3: Cross multiply
    1,227.79x = 1,841.15 × 457.75
  4. Step 4: Simplify right side
    1,227.79x = 842,784.12
  5. Step 5: Solve for x
    x = 842,784.12/1,227.79
  6. Step 6: Final answer
    x = 686.42

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Double scale
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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.