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Finding the Fourth Proportional to 906.41, 1,360.30 and 419.80

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Solution

The fourth proportional to 906.41, 1,360.30 and 419.80 is: 630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.41 : 1,360.30 = 419.80 : x
  2. Step 2: Convert to fraction form
    906.41/1,360.30 = 419.80/x
  3. Step 3: Cross multiply
    906.41x = 1,360.30 × 419.80
  4. Step 4: Simplify right side
    906.41x = 571,053.94
  5. Step 5: Solve for x
    x = 571,053.94/906.41
  6. Step 6: Final answer
    x = 630.02

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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.