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Finding the Fourth Proportional to 908.04, 1,360.62 and 419.88

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Solution

The fourth proportional to 908.04, 1,360.62 and 419.88 is: 629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.04 : 1,360.62 = 419.88 : x
  2. Step 2: Convert to fraction form
    908.04/1,360.62 = 419.88/x
  3. Step 3: Cross multiply
    908.04x = 1,360.62 × 419.88
  4. Step 4: Simplify right side
    908.04x = 571,297.13
  5. Step 5: Solve for x
    x = 571,297.13/908.04
  6. Step 6: Final answer
    x = 629.15

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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.