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Finding the Fourth Proportional to 913.65, 1,260.54 and 540.75

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Solution

The fourth proportional to 913.65, 1,260.54 and 540.75 is: 746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.65 : 1,260.54 = 540.75 : x
  2. Step 2: Convert to fraction form
    913.65/1,260.54 = 540.75/x
  3. Step 3: Cross multiply
    913.65x = 1,260.54 × 540.75
  4. Step 4: Simplify right side
    913.65x = 681,637.01
  5. Step 5: Solve for x
    x = 681,637.01/913.65
  6. Step 6: Final answer
    x = 746.06

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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.