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Finding the Fourth Proportional to 1,287.41, 1,930.91 and 465.26

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Solution

The fourth proportional to 1,287.41, 1,930.91 and 465.26 is: 697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.41 : 1,930.91 = 465.26 : x
  2. Step 2: Convert to fraction form
    1,287.41/1,930.91 = 465.26/x
  3. Step 3: Cross multiply
    1,287.41x = 1,930.91 × 465.26
  4. Step 4: Simplify right side
    1,287.41x = 898,381.18
  5. Step 5: Solve for x
    x = 898,381.18/1,287.41
  6. Step 6: Final answer
    x = 697.82

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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.