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Finding the Fourth Proportional to 656.53, 980.21 and 564.85

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Solution

The fourth proportional to 656.53, 980.21 and 564.85 is: 843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.53 : 980.21 = 564.85 : x
  2. Step 2: Convert to fraction form
    656.53/980.21 = 564.85/x
  3. Step 3: Cross multiply
    656.53x = 980.21 × 564.85
  4. Step 4: Simplify right side
    656.53x = 553,671.62
  5. Step 5: Solve for x
    x = 553,671.62/656.53
  6. Step 6: Final answer
    x = 843.33

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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.