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Finding the Fourth Proportional to 656.69, 985.61 and 266.90

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Solution

The fourth proportional to 656.69, 985.61 and 266.90 is: 400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.69 : 985.61 = 266.90 : x
  2. Step 2: Convert to fraction form
    656.69/985.61 = 266.90/x
  3. Step 3: Cross multiply
    656.69x = 985.61 × 266.90
  4. Step 4: Simplify right side
    656.69x = 263,053.05
  5. Step 5: Solve for x
    x = 263,053.05/656.69
  6. Step 6: Final answer
    x = 400.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.