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Finding the Fourth Proportional to 913.30, 1,259.83 and 520.25

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Solution

The fourth proportional to 913.30, 1,259.83 and 520.25 is: 717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.30 : 1,259.83 = 520.25 : x
  2. Step 2: Convert to fraction form
    913.30/1,259.83 = 520.25/x
  3. Step 3: Cross multiply
    913.30x = 1,259.83 × 520.25
  4. Step 4: Simplify right side
    913.30x = 655,426.56
  5. Step 5: Solve for x
    x = 655,426.56/913.30
  6. Step 6: Final answer
    x = 717.65

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1.5x scale

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.