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Finding the Fourth Proportional to 1,605.21, 2,410.56 and 992.54

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Solution

The fourth proportional to 1,605.21, 2,410.56 and 992.54 is: 1,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.21 : 2,410.56 = 992.54 : x
  2. Step 2: Convert to fraction form
    1,605.21/2,410.56 = 992.54/x
  3. Step 3: Cross multiply
    1,605.21x = 2,410.56 × 992.54
  4. Step 4: Simplify right side
    1,605.21x = 2,392,565.17
  5. Step 5: Solve for x
    x = 2,392,565.17/1,605.21
  6. Step 6: Final answer
    x = 1,490.50

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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.