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Finding the Fourth Proportional to 708.36, 1,055.62 and 685.14

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Solution

The fourth proportional to 708.36, 1,055.62 and 685.14 is: 1,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.36 : 1,055.62 = 685.14 : x
  2. Step 2: Convert to fraction form
    708.36/1,055.62 = 685.14/x
  3. Step 3: Cross multiply
    708.36x = 1,055.62 × 685.14
  4. Step 4: Simplify right side
    708.36x = 723,247.49
  5. Step 5: Solve for x
    x = 723,247.49/708.36
  6. Step 6: Final answer
    x = 1,021.02

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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.