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Finding the Fourth Proportional to 918.08, 1,265.88 and 684.80

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Solution

The fourth proportional to 918.08, 1,265.88 and 684.80 is: 944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.08 : 1,265.88 = 684.80 : x
  2. Step 2: Convert to fraction form
    918.08/1,265.88 = 684.80/x
  3. Step 3: Cross multiply
    918.08x = 1,265.88 × 684.80
  4. Step 4: Simplify right side
    918.08x = 866,874.62
  5. Step 5: Solve for x
    x = 866,874.62/918.08
  6. Step 6: Final answer
    x = 944.23

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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.