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Finding the Fourth Proportional to 705.24, 972.72 and 694.44

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Solution

The fourth proportional to 705.24, 972.72 and 694.44 is: 957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.24 : 972.72 = 694.44 : x
  2. Step 2: Convert to fraction form
    705.24/972.72 = 694.44/x
  3. Step 3: Cross multiply
    705.24x = 972.72 × 694.44
  4. Step 4: Simplify right side
    705.24x = 675,495.68
  5. Step 5: Solve for x
    x = 675,495.68/705.24
  6. Step 6: Final answer
    x = 957.82

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1.5x scale

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.