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Finding the Fourth Proportional to 678.39, 936.16 and 429.85

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Solution

The fourth proportional to 678.39, 936.16 and 429.85 is: 593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.39 : 936.16 = 429.85 : x
  2. Step 2: Convert to fraction form
    678.39/936.16 = 429.85/x
  3. Step 3: Cross multiply
    678.39x = 936.16 × 429.85
  4. Step 4: Simplify right side
    678.39x = 402,408.38
  5. Step 5: Solve for x
    x = 402,408.38/678.39
  6. Step 6: Final answer
    x = 593.18

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1.5x scale

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.