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Finding the Fourth Proportional to 678.08, 935.80 and 429.28

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Solution

The fourth proportional to 678.08, 935.80 and 429.28 is: 592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.08 : 935.80 = 429.28 : x
  2. Step 2: Convert to fraction form
    678.08/935.80 = 429.28/x
  3. Step 3: Cross multiply
    678.08x = 935.80 × 429.28
  4. Step 4: Simplify right side
    678.08x = 401,720.22
  5. Step 5: Solve for x
    x = 401,720.22/678.08
  6. Step 6: Final answer
    x = 592.44

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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.