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Finding the Fourth Proportional to 1,146.33, 1,581.98 and 648.99

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Solution

The fourth proportional to 1,146.33, 1,581.98 and 648.99 is: 895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.33 : 1,581.98 = 648.99 : x
  2. Step 2: Convert to fraction form
    1,146.33/1,581.98 = 648.99/x
  3. Step 3: Cross multiply
    1,146.33x = 1,581.98 × 648.99
  4. Step 4: Simplify right side
    1,146.33x = 1,026,685.96
  5. Step 5: Solve for x
    x = 1,026,685.96/1,146.33
  6. Step 6: Final answer
    x = 895.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.