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Finding the Fourth Proportional to 916.08, 1,263.12 and 682.80

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Solution

The fourth proportional to 916.08, 1,263.12 and 682.80 is: 941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.08 : 1,263.12 = 682.80 : x
  2. Step 2: Convert to fraction form
    916.08/1,263.12 = 682.80/x
  3. Step 3: Cross multiply
    916.08x = 1,263.12 × 682.80
  4. Step 4: Simplify right side
    916.08x = 862,458.34
  5. Step 5: Solve for x
    x = 862,458.34/916.08
  6. Step 6: Final answer
    x = 941.47

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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.