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Finding the Fourth Proportional to 990.84, 1,367.42 and 597.89

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Solution

The fourth proportional to 990.84, 1,367.42 and 597.89 is: 825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.84 : 1,367.42 = 597.89 : x
  2. Step 2: Convert to fraction form
    990.84/1,367.42 = 597.89/x
  3. Step 3: Cross multiply
    990.84x = 1,367.42 × 597.89
  4. Step 4: Simplify right side
    990.84x = 817,567.17
  5. Step 5: Solve for x
    x = 817,567.17/990.84
  6. Step 6: Final answer
    x = 825.12

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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.