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Finding the Fourth Proportional to 712.53, 980.78 and 684.86

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Solution

The fourth proportional to 712.53, 980.78 and 684.86 is: 942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.53 : 980.78 = 684.86 : x
  2. Step 2: Convert to fraction form
    712.53/980.78 = 684.86/x
  3. Step 3: Cross multiply
    712.53x = 980.78 × 684.86
  4. Step 4: Simplify right side
    712.53x = 671,688.66
  5. Step 5: Solve for x
    x = 671,688.66/712.53
  6. Step 6: Final answer
    x = 942.68

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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.