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Finding the Fourth Proportional to 913.81, 1,261.06 and 520.83

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Solution

The fourth proportional to 913.81, 1,261.06 and 520.83 is: 718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.81 : 1,261.06 = 520.83 : x
  2. Step 2: Convert to fraction form
    913.81/1,261.06 = 520.83/x
  3. Step 3: Cross multiply
    913.81x = 1,261.06 × 520.83
  4. Step 4: Simplify right side
    913.81x = 656,797.88
  5. Step 5: Solve for x
    x = 656,797.88/913.81
  6. Step 6: Final answer
    x = 718.75

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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.