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Finding the Fourth Proportional to 913.64, 1,260.78 and 520.65

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Solution

The fourth proportional to 913.64, 1,260.78 and 520.65 is: 718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.64 : 1,260.78 = 520.65 : x
  2. Step 2: Convert to fraction form
    913.64/1,260.78 = 520.65/x
  3. Step 3: Cross multiply
    913.64x = 1,260.78 × 520.65
  4. Step 4: Simplify right side
    913.64x = 656,425.11
  5. Step 5: Solve for x
    x = 656,425.11/913.64
  6. Step 6: Final answer
    x = 718.47

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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.