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Finding the Fourth Proportional to 919.25, 1,268.06 and 624.00

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Solution

The fourth proportional to 919.25, 1,268.06 and 624.00 is: 860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.25 : 1,268.06 = 624.00 : x
  2. Step 2: Convert to fraction form
    919.25/1,268.06 = 624.00/x
  3. Step 3: Cross multiply
    919.25x = 1,268.06 × 624.00
  4. Step 4: Simplify right side
    919.25x = 791,271.08
  5. Step 5: Solve for x
    x = 791,271.08/919.25
  6. Step 6: Final answer
    x = 860.78

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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.