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Finding the Fourth Proportional to 678.03, 935.68 and 367.53

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Solution

The fourth proportional to 678.03, 935.68 and 367.53 is: 507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.03 : 935.68 = 367.53 : x
  2. Step 2: Convert to fraction form
    678.03/935.68 = 367.53/x
  3. Step 3: Cross multiply
    678.03x = 935.68 × 367.53
  4. Step 4: Simplify right side
    678.03x = 343,890.47
  5. Step 5: Solve for x
    x = 343,890.47/678.03
  6. Step 6: Final answer
    x = 507.19

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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.