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Finding the Fourth Proportional to 919.36, 1,265.36 and 656.96

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Solution

The fourth proportional to 919.36, 1,265.36 and 656.96 is: 904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.36 : 1,265.36 = 656.96 : x
  2. Step 2: Convert to fraction form
    919.36/1,265.36 = 656.96/x
  3. Step 3: Cross multiply
    919.36x = 1,265.36 × 656.96
  4. Step 4: Simplify right side
    919.36x = 831,290.91
  5. Step 5: Solve for x
    x = 831,290.91/919.36
  6. Step 6: Final answer
    x = 904.21

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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.