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Finding the Fourth Proportional to 919.34, 1,268.64 and 520.98

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Solution

The fourth proportional to 919.34, 1,268.64 and 520.98 is: 718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.34 : 1,268.64 = 520.98 : x
  2. Step 2: Convert to fraction form
    919.34/1,268.64 = 520.98/x
  3. Step 3: Cross multiply
    919.34x = 1,268.64 × 520.98
  4. Step 4: Simplify right side
    919.34x = 660,936.07
  5. Step 5: Solve for x
    x = 660,936.07/919.34
  6. Step 6: Final answer
    x = 718.93

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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.