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Finding the Fourth Proportional to 1,620.63, 2,431.14 and 524.61

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Solution

The fourth proportional to 1,620.63, 2,431.14 and 524.61 is: 786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.63 : 2,431.14 = 524.61 : x
  2. Step 2: Convert to fraction form
    1,620.63/2,431.14 = 524.61/x
  3. Step 3: Cross multiply
    1,620.63x = 2,431.14 × 524.61
  4. Step 4: Simplify right side
    1,620.63x = 1,275,400.36
  5. Step 5: Solve for x
    x = 1,275,400.36/1,620.63
  6. Step 6: Final answer
    x = 786.98

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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.