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Finding the Fourth Proportional to 660.88, 986.81 and 563.68

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Solution

The fourth proportional to 660.88, 986.81 and 563.68 is: 841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.88 : 986.81 = 563.68 : x
  2. Step 2: Convert to fraction form
    660.88/986.81 = 563.68/x
  3. Step 3: Cross multiply
    660.88x = 986.81 × 563.68
  4. Step 4: Simplify right side
    660.88x = 556,245.06
  5. Step 5: Solve for x
    x = 556,245.06/660.88
  6. Step 6: Final answer
    x = 841.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.