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Finding the Fourth Proportional to 916.23, 1,263.71 and 636.47

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Solution

The fourth proportional to 916.23, 1,263.71 and 636.47 is: 877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.23 : 1,263.71 = 636.47 : x
  2. Step 2: Convert to fraction form
    916.23/1,263.71 = 636.47/x
  3. Step 3: Cross multiply
    916.23x = 1,263.71 × 636.47
  4. Step 4: Simplify right side
    916.23x = 804,304.00
  5. Step 5: Solve for x
    x = 804,304.00/916.23
  6. Step 6: Final answer
    x = 877.84

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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.