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Finding the Fourth Proportional to 1,270.71, 1,905.66 and 404.82

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Solution

The fourth proportional to 1,270.71, 1,905.66 and 404.82 is: 607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.71 : 1,905.66 = 404.82 : x
  2. Step 2: Convert to fraction form
    1,270.71/1,905.66 = 404.82/x
  3. Step 3: Cross multiply
    1,270.71x = 1,905.66 × 404.82
  4. Step 4: Simplify right side
    1,270.71x = 771,449.28
  5. Step 5: Solve for x
    x = 771,449.28/1,270.71
  6. Step 6: Final answer
    x = 607.10

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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.