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Finding the Fourth Proportional to 577.84, 794.12 and 461.20

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Solution

The fourth proportional to 577.84, 794.12 and 461.20 is: 633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.84 : 794.12 = 461.20 : x
  2. Step 2: Convert to fraction form
    577.84/794.12 = 461.20/x
  3. Step 3: Cross multiply
    577.84x = 794.12 × 461.20
  4. Step 4: Simplify right side
    577.84x = 366,248.14
  5. Step 5: Solve for x
    x = 366,248.14/577.84
  6. Step 6: Final answer
    x = 633.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.