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Finding the Fourth Proportional to 711.37, 977.71 and 627.97

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Solution

The fourth proportional to 711.37, 977.71 and 627.97 is: 863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.37 : 977.71 = 627.97 : x
  2. Step 2: Convert to fraction form
    711.37/977.71 = 627.97/x
  3. Step 3: Cross multiply
    711.37x = 977.71 × 627.97
  4. Step 4: Simplify right side
    711.37x = 613,967.66
  5. Step 5: Solve for x
    x = 613,967.66/711.37
  6. Step 6: Final answer
    x = 863.08

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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.