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Finding the Fourth Proportional to 1,748.72, 2,623.80 and 653.96

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Solution

The fourth proportional to 1,748.72, 2,623.80 and 653.96 is: 981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.72 : 2,623.80 = 653.96 : x
  2. Step 2: Convert to fraction form
    1,748.72/2,623.80 = 653.96/x
  3. Step 3: Cross multiply
    1,748.72x = 2,623.80 × 653.96
  4. Step 4: Simplify right side
    1,748.72x = 1,715,860.25
  5. Step 5: Solve for x
    x = 1,715,860.25/1,748.72
  6. Step 6: Final answer
    x = 981.21

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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.