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Finding the Fourth Proportional to 914.08, 1,369.88 and 419.88

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Solution

The fourth proportional to 914.08, 1,369.88 and 419.88 is: 629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.08 : 1,369.88 = 419.88 : x
  2. Step 2: Convert to fraction form
    914.08/1,369.88 = 419.88/x
  3. Step 3: Cross multiply
    914.08x = 1,369.88 × 419.88
  4. Step 4: Simplify right side
    914.08x = 575,185.21
  5. Step 5: Solve for x
    x = 575,185.21/914.08
  6. Step 6: Final answer
    x = 629.25

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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.