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Finding the Fourth Proportional to 1,646.85, 2,473.22 and 1,580.80

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Solution

The fourth proportional to 1,646.85, 2,473.22 and 1,580.80 is: 2,374.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.85 : 2,473.22 = 1,580.80 : x
  2. Step 2: Convert to fraction form
    1,646.85/2,473.22 = 1,580.80/x
  3. Step 3: Cross multiply
    1,646.85x = 2,473.22 × 1,580.80
  4. Step 4: Simplify right side
    1,646.85x = 3,909,666.18
  5. Step 5: Solve for x
    x = 3,909,666.18/1,646.85
  6. Step 6: Final answer
    x = 2,374.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.