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Finding the Fourth Proportional to 990.76, 1,367.05 and 597.81

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Solution

The fourth proportional to 990.76, 1,367.05 and 597.81 is: 824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.76 : 1,367.05 = 597.81 : x
  2. Step 2: Convert to fraction form
    990.76/1,367.05 = 597.81/x
  3. Step 3: Cross multiply
    990.76x = 1,367.05 × 597.81
  4. Step 4: Simplify right side
    990.76x = 817,236.16
  5. Step 5: Solve for x
    x = 817,236.16/990.76
  6. Step 6: Final answer
    x = 824.86

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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.