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Finding the Fourth Proportional to 1,044.80, 1,567.43 and 395.54

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Solution

The fourth proportional to 1,044.80, 1,567.43 and 395.54 is: 593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.80 : 1,567.43 = 395.54 : x
  2. Step 2: Convert to fraction form
    1,044.80/1,567.43 = 395.54/x
  3. Step 3: Cross multiply
    1,044.80x = 1,567.43 × 395.54
  4. Step 4: Simplify right side
    1,044.80x = 619,971.45
  5. Step 5: Solve for x
    x = 619,971.45/1,044.80
  6. Step 6: Final answer
    x = 593.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.