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Finding the Fourth Proportional to 1,757.23, 2,636.22 and 524.71

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Solution

The fourth proportional to 1,757.23, 2,636.22 and 524.71 is: 787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.23 : 2,636.22 = 524.71 : x
  2. Step 2: Convert to fraction form
    1,757.23/2,636.22 = 524.71/x
  3. Step 3: Cross multiply
    1,757.23x = 2,636.22 × 524.71
  4. Step 4: Simplify right side
    1,757.23x = 1,383,244.41
  5. Step 5: Solve for x
    x = 1,383,244.41/1,757.23
  6. Step 6: Final answer
    x = 787.17

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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.