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Finding the Fourth Proportional to 912.30, 1,259 and 519.34

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Solution

The fourth proportional to 912.30, 1,259 and 519.34 is: 716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.30 : 1,259 = 519.34 : x
  2. Step 2: Convert to fraction form
    912.30/1,259 = 519.34/x
  3. Step 3: Cross multiply
    912.30x = 1,259 × 519.34
  4. Step 4: Simplify right side
    912.30x = 653,849.06
  5. Step 5: Solve for x
    x = 653,849.06/912.30
  6. Step 6: Final answer
    x = 716.70

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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.