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Finding the Fourth Proportional to 1,757.32, 2,635.78 and 458.89

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Solution

The fourth proportional to 1,757.32, 2,635.78 and 458.89 is: 688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.32 : 2,635.78 = 458.89 : x
  2. Step 2: Convert to fraction form
    1,757.32/2,635.78 = 458.89/x
  3. Step 3: Cross multiply
    1,757.32x = 2,635.78 × 458.89
  4. Step 4: Simplify right side
    1,757.32x = 1,209,531.94
  5. Step 5: Solve for x
    x = 1,209,531.94/1,757.32
  6. Step 6: Final answer
    x = 688.28

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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.