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Finding the Fourth Proportional to 710.39, 974.23 and 680.83

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Solution

The fourth proportional to 710.39, 974.23 and 680.83 is: 933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.39 : 974.23 = 680.83 : x
  2. Step 2: Convert to fraction form
    710.39/974.23 = 680.83/x
  3. Step 3: Cross multiply
    710.39x = 974.23 × 680.83
  4. Step 4: Simplify right side
    710.39x = 663,285.01
  5. Step 5: Solve for x
    x = 663,285.01/710.39
  6. Step 6: Final answer
    x = 933.69

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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.