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Finding the Fourth Proportional to 678.42, 935.84 and 429.32

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Solution

The fourth proportional to 678.42, 935.84 and 429.32 is: 592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.42 : 935.84 = 429.32 : x
  2. Step 2: Convert to fraction form
    678.42/935.84 = 429.32/x
  3. Step 3: Cross multiply
    678.42x = 935.84 × 429.32
  4. Step 4: Simplify right side
    678.42x = 401,774.83
  5. Step 5: Solve for x
    x = 401,774.83/678.42
  6. Step 6: Final answer
    x = 592.22

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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.