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Finding the Fourth Proportional to 648.14, 967.34 and 559.89

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Solution

The fourth proportional to 648.14, 967.34 and 559.89 is: 835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.14 : 967.34 = 559.89 : x
  2. Step 2: Convert to fraction form
    648.14/967.34 = 559.89/x
  3. Step 3: Cross multiply
    648.14x = 967.34 × 559.89
  4. Step 4: Simplify right side
    648.14x = 541,605.39
  5. Step 5: Solve for x
    x = 541,605.39/648.14
  6. Step 6: Final answer
    x = 835.64

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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.