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Finding the Fourth Proportional to 1,092.51, 1,508.94 and 987.57

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Solution

The fourth proportional to 1,092.51, 1,508.94 and 987.57 is: 1,364.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.51 : 1,508.94 = 987.57 : x
  2. Step 2: Convert to fraction form
    1,092.51/1,508.94 = 987.57/x
  3. Step 3: Cross multiply
    1,092.51x = 1,508.94 × 987.57
  4. Step 4: Simplify right side
    1,092.51x = 1,490,183.88
  5. Step 5: Solve for x
    x = 1,490,183.88/1,092.51
  6. Step 6: Final answer
    x = 1,364.00

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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.