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Finding the Fourth Proportional to 678.02, 935.48 and 415.58

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Solution

The fourth proportional to 678.02, 935.48 and 415.58 is: 573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.02 : 935.48 = 415.58 : x
  2. Step 2: Convert to fraction form
    678.02/935.48 = 415.58/x
  3. Step 3: Cross multiply
    678.02x = 935.48 × 415.58
  4. Step 4: Simplify right side
    678.02x = 388,763.14
  5. Step 5: Solve for x
    x = 388,763.14/678.02
  6. Step 6: Final answer
    x = 573.38

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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.