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Finding the Fourth Proportional to 715.38, 1,064.63 and 684.66

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Solution

The fourth proportional to 715.38, 1,064.63 and 684.66 is: 1,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.38 : 1,064.63 = 684.66 : x
  2. Step 2: Convert to fraction form
    715.38/1,064.63 = 684.66/x
  3. Step 3: Cross multiply
    715.38x = 1,064.63 × 684.66
  4. Step 4: Simplify right side
    715.38x = 728,906.15
  5. Step 5: Solve for x
    x = 728,906.15/715.38
  6. Step 6: Final answer
    x = 1,018.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.