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Finding the Fourth Proportional to 715.42, 989.04 and 684.82

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Solution

The fourth proportional to 715.42, 989.04 and 684.82 is: 946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.42 : 989.04 = 684.82 : x
  2. Step 2: Convert to fraction form
    715.42/989.04 = 684.82/x
  3. Step 3: Cross multiply
    715.42x = 989.04 × 684.82
  4. Step 4: Simplify right side
    715.42x = 677,314.37
  5. Step 5: Solve for x
    x = 677,314.37/715.42
  6. Step 6: Final answer
    x = 946.74

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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.