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Finding the Fourth Proportional to 913.35, 1,259.91 and 540.21

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Solution

The fourth proportional to 913.35, 1,259.91 and 540.21 is: 745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.35 : 1,259.91 = 540.21 : x
  2. Step 2: Convert to fraction form
    913.35/1,259.91 = 540.21/x
  3. Step 3: Cross multiply
    913.35x = 1,259.91 × 540.21
  4. Step 4: Simplify right side
    913.35x = 680,615.98
  5. Step 5: Solve for x
    x = 680,615.98/913.35
  6. Step 6: Final answer
    x = 745.19

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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.