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Finding the Fourth Proportional to 703.12, 964.70 and 684.76

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Solution

The fourth proportional to 703.12, 964.70 and 684.76 is: 939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.12 : 964.70 = 684.76 : x
  2. Step 2: Convert to fraction form
    703.12/964.70 = 684.76/x
  3. Step 3: Cross multiply
    703.12x = 964.70 × 684.76
  4. Step 4: Simplify right side
    703.12x = 660,587.97
  5. Step 5: Solve for x
    x = 660,587.97/703.12
  6. Step 6: Final answer
    x = 939.51

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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.