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Finding the Fourth Proportional to 919, 1,269.12 and 654.04

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Solution

The fourth proportional to 919, 1,269.12 and 654.04 is: 903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    919 : 1,269.12 = 654.04 : x
  2. Step 2: Convert to fraction form
    919/1,269.12 = 654.04/x
  3. Step 3: Cross multiply
    919x = 1,269.12 × 654.04
  4. Step 4: Simplify right side
    919x = 830,055.24
  5. Step 5: Solve for x
    x = 830,055.24/919
  6. Step 6: Final answer
    x = 903.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.