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Finding the Fourth Proportional to 678.07, 935.74 and 367.57

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Solution

The fourth proportional to 678.07, 935.74 and 367.57 is: 507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.07 : 935.74 = 367.57 : x
  2. Step 2: Convert to fraction form
    678.07/935.74 = 367.57/x
  3. Step 3: Cross multiply
    678.07x = 935.74 × 367.57
  4. Step 4: Simplify right side
    678.07x = 343,946.69
  5. Step 5: Solve for x
    x = 343,946.69/678.07
  6. Step 6: Final answer
    x = 507.25

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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.