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Finding the Fourth Proportional to 714.51, 1,072.17 and 406.71

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Solution

The fourth proportional to 714.51, 1,072.17 and 406.71 is: 610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.51 : 1,072.17 = 406.71 : x
  2. Step 2: Convert to fraction form
    714.51/1,072.17 = 406.71/x
  3. Step 3: Cross multiply
    714.51x = 1,072.17 × 406.71
  4. Step 4: Simplify right side
    714.51x = 436,062.26
  5. Step 5: Solve for x
    x = 436,062.26/714.51
  6. Step 6: Final answer
    x = 610.30

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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.