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Finding the Fourth Proportional to 412.68, 619.32 and 291.80

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Solution

The fourth proportional to 412.68, 619.32 and 291.80 is: 437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.68 : 619.32 = 291.80 : x
  2. Step 2: Convert to fraction form
    412.68/619.32 = 291.80/x
  3. Step 3: Cross multiply
    412.68x = 619.32 × 291.80
  4. Step 4: Simplify right side
    412.68x = 180,717.58
  5. Step 5: Solve for x
    x = 180,717.58/412.68
  6. Step 6: Final answer
    x = 437.91

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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.