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Finding the Fourth Proportional to 1,071.78, 1,605.99 and 828.90

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Solution

The fourth proportional to 1,071.78, 1,605.99 and 828.90 is: 1,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.78 : 1,605.99 = 828.90 : x
  2. Step 2: Convert to fraction form
    1,071.78/1,605.99 = 828.90/x
  3. Step 3: Cross multiply
    1,071.78x = 1,605.99 × 828.90
  4. Step 4: Simplify right side
    1,071.78x = 1,331,205.11
  5. Step 5: Solve for x
    x = 1,331,205.11/1,071.78
  6. Step 6: Final answer
    x = 1,242.05

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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.