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Finding the Fourth Proportional to 1,089.78, 1,503.90 and 592.42

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Solution

The fourth proportional to 1,089.78, 1,503.90 and 592.42 is: 817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.78 : 1,503.90 = 592.42 : x
  2. Step 2: Convert to fraction form
    1,089.78/1,503.90 = 592.42/x
  3. Step 3: Cross multiply
    1,089.78x = 1,503.90 × 592.42
  4. Step 4: Simplify right side
    1,089.78x = 890,940.44
  5. Step 5: Solve for x
    x = 890,940.44/1,089.78
  6. Step 6: Final answer
    x = 817.54

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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.