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Finding the Fourth Proportional to 591.63, 887.43 and 266.78

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Solution

The fourth proportional to 591.63, 887.43 and 266.78 is: 400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.63 : 887.43 = 266.78 : x
  2. Step 2: Convert to fraction form
    591.63/887.43 = 266.78/x
  3. Step 3: Cross multiply
    591.63x = 887.43 × 266.78
  4. Step 4: Simplify right side
    591.63x = 236,744.14
  5. Step 5: Solve for x
    x = 236,744.14/591.63
  6. Step 6: Final answer
    x = 400.16

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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.