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Finding the Fourth Proportional to 678.34, 935.84 and 415.90

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Solution

The fourth proportional to 678.34, 935.84 and 415.90 is: 573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.34 : 935.84 = 415.90 : x
  2. Step 2: Convert to fraction form
    678.34/935.84 = 415.90/x
  3. Step 3: Cross multiply
    678.34x = 935.84 × 415.90
  4. Step 4: Simplify right side
    678.34x = 389,209.10
  5. Step 5: Solve for x
    x = 389,209.10/678.34
  6. Step 6: Final answer
    x = 573.77

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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.