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Finding the Fourth Proportional to 709.38, 977.73 and 610.74

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Solution

The fourth proportional to 709.38, 977.73 and 610.74 is: 841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.38 : 977.73 = 610.74 : x
  2. Step 2: Convert to fraction form
    709.38/977.73 = 610.74/x
  3. Step 3: Cross multiply
    709.38x = 977.73 × 610.74
  4. Step 4: Simplify right side
    709.38x = 597,138.82
  5. Step 5: Solve for x
    x = 597,138.82/709.38
  6. Step 6: Final answer
    x = 841.78

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Double scale
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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.