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Finding the Fourth Proportional to 649.73, 979.16 and 584.80

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Solution

The fourth proportional to 649.73, 979.16 and 584.80 is: 881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.73 : 979.16 = 584.80 : x
  2. Step 2: Convert to fraction form
    649.73/979.16 = 584.80/x
  3. Step 3: Cross multiply
    649.73x = 979.16 × 584.80
  4. Step 4: Simplify right side
    649.73x = 572,607.40
  5. Step 5: Solve for x
    x = 572,607.40/649.73
  6. Step 6: Final answer
    x = 881.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.