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Finding the Fourth Proportional to 912.81, 1,259.31 and 519.75

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Solution

The fourth proportional to 912.81, 1,259.31 and 519.75 is: 717.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.81 : 1,259.31 = 519.75 : x
  2. Step 2: Convert to fraction form
    912.81/1,259.31 = 519.75/x
  3. Step 3: Cross multiply
    912.81x = 1,259.31 × 519.75
  4. Step 4: Simplify right side
    912.81x = 654,526.37
  5. Step 5: Solve for x
    x = 654,526.37/912.81
  6. Step 6: Final answer
    x = 717.05

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Double scale
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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.