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Finding the Fourth Proportional to 709.86, 977.85 and 668.82

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Solution

The fourth proportional to 709.86, 977.85 and 668.82 is: 921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.86 : 977.85 = 668.82 : x
  2. Step 2: Convert to fraction form
    709.86/977.85 = 668.82/x
  3. Step 3: Cross multiply
    709.86x = 977.85 × 668.82
  4. Step 4: Simplify right side
    709.86x = 654,005.64
  5. Step 5: Solve for x
    x = 654,005.64/709.86
  6. Step 6: Final answer
    x = 921.32

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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.