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Finding the Fourth Proportional to 1,071.45, 1,605.69 and 811.23

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Solution

The fourth proportional to 1,071.45, 1,605.69 and 811.23 is: 1,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.45 : 1,605.69 = 811.23 : x
  2. Step 2: Convert to fraction form
    1,071.45/1,605.69 = 811.23/x
  3. Step 3: Cross multiply
    1,071.45x = 1,605.69 × 811.23
  4. Step 4: Simplify right side
    1,071.45x = 1,302,583.90
  5. Step 5: Solve for x
    x = 1,302,583.90/1,071.45
  6. Step 6: Final answer
    x = 1,215.72

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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.