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Finding the Fourth Proportional to 655.73, 904.90 and 356.98

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Solution

The fourth proportional to 655.73, 904.90 and 356.98 is: 492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.73 : 904.90 = 356.98 : x
  2. Step 2: Convert to fraction form
    655.73/904.90 = 356.98/x
  3. Step 3: Cross multiply
    655.73x = 904.90 × 356.98
  4. Step 4: Simplify right side
    655.73x = 323,029.42
  5. Step 5: Solve for x
    x = 323,029.42/655.73
  6. Step 6: Final answer
    x = 492.63

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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.