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Finding the Fourth Proportional to 678.96, 937.02 and 384.28

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Solution

The fourth proportional to 678.96, 937.02 and 384.28 is: 530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.96 : 937.02 = 384.28 : x
  2. Step 2: Convert to fraction form
    678.96/937.02 = 384.28/x
  3. Step 3: Cross multiply
    678.96x = 937.02 × 384.28
  4. Step 4: Simplify right side
    678.96x = 360,078.05
  5. Step 5: Solve for x
    x = 360,078.05/678.96
  6. Step 6: Final answer
    x = 530.34

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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.