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Finding the Fourth Proportional to 608.47, 838 and 577.18

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Solution

The fourth proportional to 608.47, 838 and 577.18 is: 794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.47 : 838 = 577.18 : x
  2. Step 2: Convert to fraction form
    608.47/838 = 577.18/x
  3. Step 3: Cross multiply
    608.47x = 838 × 577.18
  4. Step 4: Simplify right side
    608.47x = 483,676.84
  5. Step 5: Solve for x
    x = 483,676.84/608.47
  6. Step 6: Final answer
    x = 794.91

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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.