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Finding the Fourth Proportional to 700.57, 971.42 and 677.21

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Solution

The fourth proportional to 700.57, 971.42 and 677.21 is: 939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.57 : 971.42 = 677.21 : x
  2. Step 2: Convert to fraction form
    700.57/971.42 = 677.21/x
  3. Step 3: Cross multiply
    700.57x = 971.42 × 677.21
  4. Step 4: Simplify right side
    700.57x = 657,854.46
  5. Step 5: Solve for x
    x = 657,854.46/700.57
  6. Step 6: Final answer
    x = 939.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.