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Finding the Fourth Proportional to 1,025.01, 1,537.41 and 469.74

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Solution

The fourth proportional to 1,025.01, 1,537.41 and 469.74 is: 704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.01 : 1,537.41 = 469.74 : x
  2. Step 2: Convert to fraction form
    1,025.01/1,537.41 = 469.74/x
  3. Step 3: Cross multiply
    1,025.01x = 1,537.41 × 469.74
  4. Step 4: Simplify right side
    1,025.01x = 722,182.97
  5. Step 5: Solve for x
    x = 722,182.97/1,025.01
  6. Step 6: Final answer
    x = 704.56

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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.