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Finding the Fourth Proportional to 1,092.51, 1,639.08 and 971.55

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Solution

The fourth proportional to 1,092.51, 1,639.08 and 971.55 is: 1,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.51 : 1,639.08 = 971.55 : x
  2. Step 2: Convert to fraction form
    1,092.51/1,639.08 = 971.55/x
  3. Step 3: Cross multiply
    1,092.51x = 1,639.08 × 971.55
  4. Step 4: Simplify right side
    1,092.51x = 1,592,448.17
  5. Step 5: Solve for x
    x = 1,592,448.17/1,092.51
  6. Step 6: Final answer
    x = 1,457.61

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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.