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Finding the Fourth Proportional to 913.20, 1,259.64 and 520.14

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Solution

The fourth proportional to 913.20, 1,259.64 and 520.14 is: 717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.20 : 1,259.64 = 520.14 : x
  2. Step 2: Convert to fraction form
    913.20/1,259.64 = 520.14/x
  3. Step 3: Cross multiply
    913.20x = 1,259.64 × 520.14
  4. Step 4: Simplify right side
    913.20x = 655,189.15
  5. Step 5: Solve for x
    x = 655,189.15/913.20
  6. Step 6: Final answer
    x = 717.47

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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.