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Finding the Fourth Proportional to 990.14, 1,366.17 and 597.15

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Solution

The fourth proportional to 990.14, 1,366.17 and 597.15 is: 823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.14 : 1,366.17 = 597.15 : x
  2. Step 2: Convert to fraction form
    990.14/1,366.17 = 597.15/x
  3. Step 3: Cross multiply
    990.14x = 1,366.17 × 597.15
  4. Step 4: Simplify right side
    990.14x = 815,809.91
  5. Step 5: Solve for x
    x = 815,809.91/990.14
  6. Step 6: Final answer
    x = 823.94

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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.