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Finding the Fourth Proportional to 1,232.78, 1,701.23 and 708.83

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Solution

The fourth proportional to 1,232.78, 1,701.23 and 708.83 is: 978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.78 : 1,701.23 = 708.83 : x
  2. Step 2: Convert to fraction form
    1,232.78/1,701.23 = 708.83/x
  3. Step 3: Cross multiply
    1,232.78x = 1,701.23 × 708.83
  4. Step 4: Simplify right side
    1,232.78x = 1,205,870.81
  5. Step 5: Solve for x
    x = 1,205,870.81/1,232.78
  6. Step 6: Final answer
    x = 978.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.