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Finding the Fourth Proportional to 708.16, 1,054.31 and 704.74

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Solution

The fourth proportional to 708.16, 1,054.31 and 704.74 is: 1,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.16 : 1,054.31 = 704.74 : x
  2. Step 2: Convert to fraction form
    708.16/1,054.31 = 704.74/x
  3. Step 3: Cross multiply
    708.16x = 1,054.31 × 704.74
  4. Step 4: Simplify right side
    708.16x = 743,014.43
  5. Step 5: Solve for x
    x = 743,014.43/708.16
  6. Step 6: Final answer
    x = 1,049.22

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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.