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Finding the Fourth Proportional to 1,089.31, 1,503.24 and 591.94

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Solution

The fourth proportional to 1,089.31, 1,503.24 and 591.94 is: 816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.31 : 1,503.24 = 591.94 : x
  2. Step 2: Convert to fraction form
    1,089.31/1,503.24 = 591.94/x
  3. Step 3: Cross multiply
    1,089.31x = 1,503.24 × 591.94
  4. Step 4: Simplify right side
    1,089.31x = 889,830.87
  5. Step 5: Solve for x
    x = 889,830.87/1,089.31
  6. Step 6: Final answer
    x = 816.88

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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.