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Finding the Fourth Proportional to 709.92, 974.34 and 651.60

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Solution

The fourth proportional to 709.92, 974.34 and 651.60 is: 894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.92 : 974.34 = 651.60 : x
  2. Step 2: Convert to fraction form
    709.92/974.34 = 651.60/x
  3. Step 3: Cross multiply
    709.92x = 974.34 × 651.60
  4. Step 4: Simplify right side
    709.92x = 634,879.94
  5. Step 5: Solve for x
    x = 634,879.94/709.92
  6. Step 6: Final answer
    x = 894.30

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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.