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Finding the Fourth Proportional to 917.84, 1,372.54 and 684

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Solution

The fourth proportional to 917.84, 1,372.54 and 684 is: 1,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.84 : 1,372.54 = 684 : x
  2. Step 2: Convert to fraction form
    917.84/1,372.54 = 684/x
  3. Step 3: Cross multiply
    917.84x = 1,372.54 × 684
  4. Step 4: Simplify right side
    917.84x = 938,817.36
  5. Step 5: Solve for x
    x = 938,817.36/917.84
  6. Step 6: Final answer
    x = 1,022.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.