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Finding the Fourth Proportional to 1,028.52, 1,542.93 and 370.47

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Solution

The fourth proportional to 1,028.52, 1,542.93 and 370.47 is: 555.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.52 : 1,542.93 = 370.47 : x
  2. Step 2: Convert to fraction form
    1,028.52/1,542.93 = 370.47/x
  3. Step 3: Cross multiply
    1,028.52x = 1,542.93 × 370.47
  4. Step 4: Simplify right side
    1,028.52x = 571,609.28
  5. Step 5: Solve for x
    x = 571,609.28/1,028.52
  6. Step 6: Final answer
    x = 555.76

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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.