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Finding the Fourth Proportional to 1,637.52, 2,455.37 and 541.59

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Solution

The fourth proportional to 1,637.52, 2,455.37 and 541.59 is: 812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.52 : 2,455.37 = 541.59 : x
  2. Step 2: Convert to fraction form
    1,637.52/2,455.37 = 541.59/x
  3. Step 3: Cross multiply
    1,637.52x = 2,455.37 × 541.59
  4. Step 4: Simplify right side
    1,637.52x = 1,329,801.13
  5. Step 5: Solve for x
    x = 1,329,801.13/1,637.52
  6. Step 6: Final answer
    x = 812.08

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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.