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Finding the Fourth Proportional to 1,808.03, 2,712.46 and 653.78

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Solution

The fourth proportional to 1,808.03, 2,712.46 and 653.78 is: 980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.03 : 2,712.46 = 653.78 : x
  2. Step 2: Convert to fraction form
    1,808.03/2,712.46 = 653.78/x
  3. Step 3: Cross multiply
    1,808.03x = 2,712.46 × 653.78
  4. Step 4: Simplify right side
    1,808.03x = 1,773,352.10
  5. Step 5: Solve for x
    x = 1,773,352.10/1,808.03
  6. Step 6: Final answer
    x = 980.82

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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.