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Finding the Fourth Proportional to 706.36, 1,054.46 and 614.09

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Solution

The fourth proportional to 706.36, 1,054.46 and 614.09 is: 916.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.36 : 1,054.46 = 614.09 : x
  2. Step 2: Convert to fraction form
    706.36/1,054.46 = 614.09/x
  3. Step 3: Cross multiply
    706.36x = 1,054.46 × 614.09
  4. Step 4: Simplify right side
    706.36x = 647,534.88
  5. Step 5: Solve for x
    x = 647,534.88/706.36
  6. Step 6: Final answer
    x = 916.73

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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.