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Finding the Fourth Proportional to 1,646.56, 2,470.30 and 673.35

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Solution

The fourth proportional to 1,646.56, 2,470.30 and 673.35 is: 1,010.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.56 : 2,470.30 = 673.35 : x
  2. Step 2: Convert to fraction form
    1,646.56/2,470.30 = 673.35/x
  3. Step 3: Cross multiply
    1,646.56x = 2,470.30 × 673.35
  4. Step 4: Simplify right side
    1,646.56x = 1,663,365.56
  5. Step 5: Solve for x
    x = 1,663,365.56/1,646.56
  6. Step 6: Final answer
    x = 1,010.21

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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.