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Finding the Fourth Proportional to 677.95, 935.58 and 367.45

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Solution

The fourth proportional to 677.95, 935.58 and 367.45 is: 507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.95 : 935.58 = 367.45 : x
  2. Step 2: Convert to fraction form
    677.95/935.58 = 367.45/x
  3. Step 3: Cross multiply
    677.95x = 935.58 × 367.45
  4. Step 4: Simplify right side
    677.95x = 343,780.07
  5. Step 5: Solve for x
    x = 343,780.07/677.95
  6. Step 6: Final answer
    x = 507.09

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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.