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Finding the Fourth Proportional to 1,289.43, 1,934.13 and 520.47

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Solution

The fourth proportional to 1,289.43, 1,934.13 and 520.47 is: 780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.43 : 1,934.13 = 520.47 : x
  2. Step 2: Convert to fraction form
    1,289.43/1,934.13 = 520.47/x
  3. Step 3: Cross multiply
    1,289.43x = 1,934.13 × 520.47
  4. Step 4: Simplify right side
    1,289.43x = 1,006,656.64
  5. Step 5: Solve for x
    x = 1,006,656.64/1,289.43
  6. Step 6: Final answer
    x = 780.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.