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Finding the Fourth Proportional to 694.72, 958.74 and 384.28

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Solution

The fourth proportional to 694.72, 958.74 and 384.28 is: 530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.72 : 958.74 = 384.28 : x
  2. Step 2: Convert to fraction form
    694.72/958.74 = 384.28/x
  3. Step 3: Cross multiply
    694.72x = 958.74 × 384.28
  4. Step 4: Simplify right side
    694.72x = 368,424.61
  5. Step 5: Solve for x
    x = 368,424.61/694.72
  6. Step 6: Final answer
    x = 530.32

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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.