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Finding the Fourth Proportional to 840.67, 1,260.15 and 407.59

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Solution

The fourth proportional to 840.67, 1,260.15 and 407.59 is: 610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.67 : 1,260.15 = 407.59 : x
  2. Step 2: Convert to fraction form
    840.67/1,260.15 = 407.59/x
  3. Step 3: Cross multiply
    840.67x = 1,260.15 × 407.59
  4. Step 4: Simplify right side
    840.67x = 513,624.54
  5. Step 5: Solve for x
    x = 513,624.54/840.67
  6. Step 6: Final answer
    x = 610.97

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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.