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Finding the Fourth Proportional to 708.96, 971.40 and 684.40

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Solution

The fourth proportional to 708.96, 971.40 and 684.40 is: 937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.96 : 971.40 = 684.40 : x
  2. Step 2: Convert to fraction form
    708.96/971.40 = 684.40/x
  3. Step 3: Cross multiply
    708.96x = 971.40 × 684.40
  4. Step 4: Simplify right side
    708.96x = 664,826.16
  5. Step 5: Solve for x
    x = 664,826.16/708.96
  6. Step 6: Final answer
    x = 937.75

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.