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Finding the Fourth Proportional to 1,160.91, 1,602.06 and 636.95

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Solution

The fourth proportional to 1,160.91, 1,602.06 and 636.95 is: 878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.91 : 1,602.06 = 636.95 : x
  2. Step 2: Convert to fraction form
    1,160.91/1,602.06 = 636.95/x
  3. Step 3: Cross multiply
    1,160.91x = 1,602.06 × 636.95
  4. Step 4: Simplify right side
    1,160.91x = 1,020,424.11
  5. Step 5: Solve for x
    x = 1,020,424.11/1,160.91
  6. Step 6: Final answer
    x = 878.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.