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Finding the Fourth Proportional to 990.14, 1,366.46 and 591.81

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Solution

The fourth proportional to 990.14, 1,366.46 and 591.81 is: 816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.14 : 1,366.46 = 591.81 : x
  2. Step 2: Convert to fraction form
    990.14/1,366.46 = 591.81/x
  3. Step 3: Cross multiply
    990.14x = 1,366.46 × 591.81
  4. Step 4: Simplify right side
    990.14x = 808,681.73
  5. Step 5: Solve for x
    x = 808,681.73/990.14
  6. Step 6: Final answer
    x = 816.74

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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.