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Finding the Fourth Proportional to 649.40, 967.66 and 584.84

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Solution

The fourth proportional to 649.40, 967.66 and 584.84 is: 871.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.40 : 967.66 = 584.84 : x
  2. Step 2: Convert to fraction form
    649.40/967.66 = 584.84/x
  3. Step 3: Cross multiply
    649.40x = 967.66 × 584.84
  4. Step 4: Simplify right side
    649.40x = 565,926.27
  5. Step 5: Solve for x
    x = 565,926.27/649.40
  6. Step 6: Final answer
    x = 871.46

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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.