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Finding the Fourth Proportional to 577.93, 797.58 and 356.76

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Solution

The fourth proportional to 577.93, 797.58 and 356.76 is: 492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.93 : 797.58 = 356.76 : x
  2. Step 2: Convert to fraction form
    577.93/797.58 = 356.76/x
  3. Step 3: Cross multiply
    577.93x = 797.58 × 356.76
  4. Step 4: Simplify right side
    577.93x = 284,544.64
  5. Step 5: Solve for x
    x = 284,544.64/577.93
  6. Step 6: Final answer
    x = 492.35

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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.