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Finding the Fourth Proportional to 1,455.77, 2,008.50 and 1,013.92

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Solution

The fourth proportional to 1,455.77, 2,008.50 and 1,013.92 is: 1,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.77 : 2,008.50 = 1,013.92 : x
  2. Step 2: Convert to fraction form
    1,455.77/2,008.50 = 1,013.92/x
  3. Step 3: Cross multiply
    1,455.77x = 2,008.50 × 1,013.92
  4. Step 4: Simplify right side
    1,455.77x = 2,036,449.50
  5. Step 5: Solve for x
    x = 2,036,449.50/1,455.77
  6. Step 6: Final answer
    x = 1,398.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.