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Finding the Fourth Proportional to 1,215.67, 1,677.49 and 684.58

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Solution

The fourth proportional to 1,215.67, 1,677.49 and 684.58 is: 944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.67 : 1,677.49 = 684.58 : x
  2. Step 2: Convert to fraction form
    1,215.67/1,677.49 = 684.58/x
  3. Step 3: Cross multiply
    1,215.67x = 1,677.49 × 684.58
  4. Step 4: Simplify right side
    1,215.67x = 1,148,376.10
  5. Step 5: Solve for x
    x = 1,148,376.10/1,215.67
  6. Step 6: Final answer
    x = 944.64

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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.