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Finding the Fourth Proportional to 577.40, 796.12 and 466.53

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Solution

The fourth proportional to 577.40, 796.12 and 466.53 is: 643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.40 : 796.12 = 466.53 : x
  2. Step 2: Convert to fraction form
    577.40/796.12 = 466.53/x
  3. Step 3: Cross multiply
    577.40x = 796.12 × 466.53
  4. Step 4: Simplify right side
    577.40x = 371,409.88
  5. Step 5: Solve for x
    x = 371,409.88/577.40
  6. Step 6: Final answer
    x = 643.25

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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.