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Finding the Fourth Proportional to 919.98, 1,268.60 and 654.57

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Solution

The fourth proportional to 919.98, 1,268.60 and 654.57 is: 902.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.98 : 1,268.60 = 654.57 : x
  2. Step 2: Convert to fraction form
    919.98/1,268.60 = 654.57/x
  3. Step 3: Cross multiply
    919.98x = 1,268.60 × 654.57
  4. Step 4: Simplify right side
    919.98x = 830,384.23
  5. Step 5: Solve for x
    x = 830,384.23/919.98
  6. Step 6: Final answer
    x = 902.61

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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.