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Finding the Fourth Proportional to 1,071.95, 1,616.19 and 858.11

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Solution

The fourth proportional to 1,071.95, 1,616.19 and 858.11 is: 1,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.95 : 1,616.19 = 858.11 : x
  2. Step 2: Convert to fraction form
    1,071.95/1,616.19 = 858.11/x
  3. Step 3: Cross multiply
    1,071.95x = 1,616.19 × 858.11
  4. Step 4: Simplify right side
    1,071.95x = 1,386,860.72
  5. Step 5: Solve for x
    x = 1,386,860.72/1,071.95
  6. Step 6: Final answer
    x = 1,293.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.