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Finding the Fourth Proportional to 678.25, 935.66 and 429.94

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Solution

The fourth proportional to 678.25, 935.66 and 429.94 is: 593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.25 : 935.66 = 429.94 : x
  2. Step 2: Convert to fraction form
    678.25/935.66 = 429.94/x
  3. Step 3: Cross multiply
    678.25x = 935.66 × 429.94
  4. Step 4: Simplify right side
    678.25x = 402,270.83
  5. Step 5: Solve for x
    x = 402,270.83/678.25
  6. Step 6: Final answer
    x = 593.11

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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.