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Finding the Fourth Proportional to 877.21, 1,317.43 and 588.85

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Solution

The fourth proportional to 877.21, 1,317.43 and 588.85 is: 884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.21 : 1,317.43 = 588.85 : x
  2. Step 2: Convert to fraction form
    877.21/1,317.43 = 588.85/x
  3. Step 3: Cross multiply
    877.21x = 1,317.43 × 588.85
  4. Step 4: Simplify right side
    877.21x = 775,768.66
  5. Step 5: Solve for x
    x = 775,768.66/877.21
  6. Step 6: Final answer
    x = 884.36

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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.