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Finding the Fourth Proportional to 913.72, 1,261.08 and 520.86

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Solution

The fourth proportional to 913.72, 1,261.08 and 520.86 is: 718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.72 : 1,261.08 = 520.86 : x
  2. Step 2: Convert to fraction form
    913.72/1,261.08 = 520.86/x
  3. Step 3: Cross multiply
    913.72x = 1,261.08 × 520.86
  4. Step 4: Simplify right side
    913.72x = 656,846.13
  5. Step 5: Solve for x
    x = 656,846.13/913.72
  6. Step 6: Final answer
    x = 718.87

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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.