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Finding the Fourth Proportional to 1,608.03, 2,412.72 and 621.16

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Solution

The fourth proportional to 1,608.03, 2,412.72 and 621.16 is: 932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.03 : 2,412.72 = 621.16 : x
  2. Step 2: Convert to fraction form
    1,608.03/2,412.72 = 621.16/x
  3. Step 3: Cross multiply
    1,608.03x = 2,412.72 × 621.16
  4. Step 4: Simplify right side
    1,608.03x = 1,498,679.12
  5. Step 5: Solve for x
    x = 1,498,679.12/1,608.03
  6. Step 6: Final answer
    x = 932.00

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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.