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Finding the Fourth Proportional to 1,244.25, 1,864.94 and 512.94

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Solution

The fourth proportional to 1,244.25, 1,864.94 and 512.94 is: 768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.25 : 1,864.94 = 512.94 : x
  2. Step 2: Convert to fraction form
    1,244.25/1,864.94 = 512.94/x
  3. Step 3: Cross multiply
    1,244.25x = 1,864.94 × 512.94
  4. Step 4: Simplify right side
    1,244.25x = 956,599.76
  5. Step 5: Solve for x
    x = 956,599.76/1,244.25
  6. Step 6: Final answer
    x = 768.82

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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.