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Finding the Fourth Proportional to 1,165.73, 1,608.10 and 885.50

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Solution

The fourth proportional to 1,165.73, 1,608.10 and 885.50 is: 1,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.73 : 1,608.10 = 885.50 : x
  2. Step 2: Convert to fraction form
    1,165.73/1,608.10 = 885.50/x
  3. Step 3: Cross multiply
    1,165.73x = 1,608.10 × 885.50
  4. Step 4: Simplify right side
    1,165.73x = 1,423,972.55
  5. Step 5: Solve for x
    x = 1,423,972.55/1,165.73
  6. Step 6: Final answer
    x = 1,221.53

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1.5x scale

Why These Related Problems?

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