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Finding the Fourth Proportional to 940.64, 1,298.07 and 520.97

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Solution

The fourth proportional to 940.64, 1,298.07 and 520.97 is: 718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.64 : 1,298.07 = 520.97 : x
  2. Step 2: Convert to fraction form
    940.64/1,298.07 = 520.97/x
  3. Step 3: Cross multiply
    940.64x = 1,298.07 × 520.97
  4. Step 4: Simplify right side
    940.64x = 676,249.04
  5. Step 5: Solve for x
    x = 676,249.04/940.64
  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.