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Finding the Fourth Proportional to 1,617.09, 2,425.42 and 521.43

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Solution

The fourth proportional to 1,617.09, 2,425.42 and 521.43 is: 782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.09 : 2,425.42 = 521.43 : x
  2. Step 2: Convert to fraction form
    1,617.09/2,425.42 = 521.43/x
  3. Step 3: Cross multiply
    1,617.09x = 2,425.42 × 521.43
  4. Step 4: Simplify right side
    1,617.09x = 1,264,686.75
  5. Step 5: Solve for x
    x = 1,264,686.75/1,617.09
  6. Step 6: Final answer
    x = 782.08

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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.