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Finding the Fourth Proportional to 1,084.89, 1,628.13 and 810.15

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Solution

The fourth proportional to 1,084.89, 1,628.13 and 810.15 is: 1,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.89 : 1,628.13 = 810.15 : x
  2. Step 2: Convert to fraction form
    1,084.89/1,628.13 = 810.15/x
  3. Step 3: Cross multiply
    1,084.89x = 1,628.13 × 810.15
  4. Step 4: Simplify right side
    1,084.89x = 1,319,026.45
  5. Step 5: Solve for x
    x = 1,319,026.45/1,084.89
  6. Step 6: Final answer
    x = 1,215.81

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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.