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Finding the Fourth Proportional to 577.18, 797.34 and 464.98

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Solution

The fourth proportional to 577.18, 797.34 and 464.98 is: 642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.18 : 797.34 = 464.98 : x
  2. Step 2: Convert to fraction form
    577.18/797.34 = 464.98/x
  3. Step 3: Cross multiply
    577.18x = 797.34 × 464.98
  4. Step 4: Simplify right side
    577.18x = 370,752.32
  5. Step 5: Solve for x
    x = 370,752.32/577.18
  6. Step 6: Final answer
    x = 642.35

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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.