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Finding the Fourth Proportional to 1,043.48, 1,436.72 and 885.78

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Solution

The fourth proportional to 1,043.48, 1,436.72 and 885.78 is: 1,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.48 : 1,436.72 = 885.78 : x
  2. Step 2: Convert to fraction form
    1,043.48/1,436.72 = 885.78/x
  3. Step 3: Cross multiply
    1,043.48x = 1,436.72 × 885.78
  4. Step 4: Simplify right side
    1,043.48x = 1,272,613.41
  5. Step 5: Solve for x
    x = 1,272,613.41/1,043.48
  6. Step 6: Final answer
    x = 1,219.59

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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.