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Finding the Fourth Proportional to 649.33, 894.64 and 579.40

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Solution

The fourth proportional to 649.33, 894.64 and 579.40 is: 798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.33 : 894.64 = 579.40 : x
  2. Step 2: Convert to fraction form
    649.33/894.64 = 579.40/x
  3. Step 3: Cross multiply
    649.33x = 894.64 × 579.40
  4. Step 4: Simplify right side
    649.33x = 518,354.42
  5. Step 5: Solve for x
    x = 518,354.42/649.33
  6. Step 6: Final answer
    x = 798.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.