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Finding the Fourth Proportional to 916.08, 1,263.79 and 636.99

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Solution

The fourth proportional to 916.08, 1,263.79 and 636.99 is: 878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.08 : 1,263.79 = 636.99 : x
  2. Step 2: Convert to fraction form
    916.08/1,263.79 = 636.99/x
  3. Step 3: Cross multiply
    916.08x = 1,263.79 × 636.99
  4. Step 4: Simplify right side
    916.08x = 805,021.59
  5. Step 5: Solve for x
    x = 805,021.59/916.08
  6. Step 6: Final answer
    x = 878.77

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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.