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Finding the Fourth Proportional to 711.76, 981.66 and 490.66

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Solution

The fourth proportional to 711.76, 981.66 and 490.66 is: 676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.76 : 981.66 = 490.66 : x
  2. Step 2: Convert to fraction form
    711.76/981.66 = 490.66/x
  3. Step 3: Cross multiply
    711.76x = 981.66 × 490.66
  4. Step 4: Simplify right side
    711.76x = 481,661.30
  5. Step 5: Solve for x
    x = 481,661.30/711.76
  6. Step 6: Final answer
    x = 676.72

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Half scale
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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.