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Finding the Fourth Proportional to 644, 964.74 and 424.04

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Solution

The fourth proportional to 644, 964.74 and 424.04 is: 635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    644 : 964.74 = 424.04 : x
  2. Step 2: Convert to fraction form
    644/964.74 = 424.04/x
  3. Step 3: Cross multiply
    644x = 964.74 × 424.04
  4. Step 4: Simplify right side
    644x = 409,088.35
  5. Step 5: Solve for x
    x = 409,088.35/644
  6. Step 6: Final answer
    x = 635.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.