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Finding the Fourth Proportional to 643.50, 964.20 and 334.93

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Solution

The fourth proportional to 643.50, 964.20 and 334.93 is: 501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.50 : 964.20 = 334.93 : x
  2. Step 2: Convert to fraction form
    643.50/964.20 = 334.93/x
  3. Step 3: Cross multiply
    643.50x = 964.20 × 334.93
  4. Step 4: Simplify right side
    643.50x = 322,939.51
  5. Step 5: Solve for x
    x = 322,939.51/643.50
  6. Step 6: Final answer
    x = 501.85

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1.5x scale

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.