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Finding the Fourth Proportional to 1,909.56, 2,864.43 and 522.87

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Solution

The fourth proportional to 1,909.56, 2,864.43 and 522.87 is: 784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.56 : 2,864.43 = 522.87 : x
  2. Step 2: Convert to fraction form
    1,909.56/2,864.43 = 522.87/x
  3. Step 3: Cross multiply
    1,909.56x = 2,864.43 × 522.87
  4. Step 4: Simplify right side
    1,909.56x = 1,497,707.58
  5. Step 5: Solve for x
    x = 1,497,707.58/1,909.56
  6. Step 6: Final answer
    x = 784.32

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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.