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Finding the Fourth Proportional to 990.10, 1,364.88 and 727.66

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Solution

The fourth proportional to 990.10, 1,364.88 and 727.66 is: 1,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.10 : 1,364.88 = 727.66 : x
  2. Step 2: Convert to fraction form
    990.10/1,364.88 = 727.66/x
  3. Step 3: Cross multiply
    990.10x = 1,364.88 × 727.66
  4. Step 4: Simplify right side
    990.10x = 993,168.58
  5. Step 5: Solve for x
    x = 993,168.58/990.10
  6. Step 6: Final answer
    x = 1,003.10

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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.