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Finding the Fourth Proportional to 1,127.79, 1,682.98 and 1,005.08

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Solution

The fourth proportional to 1,127.79, 1,682.98 and 1,005.08 is: 1,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.79 : 1,682.98 = 1,005.08 : x
  2. Step 2: Convert to fraction form
    1,127.79/1,682.98 = 1,005.08/x
  3. Step 3: Cross multiply
    1,127.79x = 1,682.98 × 1,005.08
  4. Step 4: Simplify right side
    1,127.79x = 1,691,518.61
  5. Step 5: Solve for x
    x = 1,691,518.61/1,127.79
  6. Step 6: Final answer
    x = 1,499.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.