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Finding the Fourth Proportional to 1,273.65, 1,910.61 and 407.76

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Solution

The fourth proportional to 1,273.65, 1,910.61 and 407.76 is: 611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.65 : 1,910.61 = 407.76 : x
  2. Step 2: Convert to fraction form
    1,273.65/1,910.61 = 407.76/x
  3. Step 3: Cross multiply
    1,273.65x = 1,910.61 × 407.76
  4. Step 4: Simplify right side
    1,273.65x = 779,070.33
  5. Step 5: Solve for x
    x = 779,070.33/1,273.65
  6. Step 6: Final answer
    x = 611.68

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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.