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Finding the Fourth Proportional to 1,537.64, 2,306.13 and 441.71

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Solution

The fourth proportional to 1,537.64, 2,306.13 and 441.71 is: 662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.64 : 2,306.13 = 441.71 : x
  2. Step 2: Convert to fraction form
    1,537.64/2,306.13 = 441.71/x
  3. Step 3: Cross multiply
    1,537.64x = 2,306.13 × 441.71
  4. Step 4: Simplify right side
    1,537.64x = 1,018,629.15
  5. Step 5: Solve for x
    x = 1,018,629.15/1,537.64
  6. Step 6: Final answer
    x = 662.46

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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.