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Finding the Fourth Proportional to 643.88, 965.81 and 233.01

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Solution

The fourth proportional to 643.88, 965.81 and 233.01 is: 349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.88 : 965.81 = 233.01 : x
  2. Step 2: Convert to fraction form
    643.88/965.81 = 233.01/x
  3. Step 3: Cross multiply
    643.88x = 965.81 × 233.01
  4. Step 4: Simplify right side
    643.88x = 225,042.22
  5. Step 5: Solve for x
    x = 225,042.22/643.88
  6. Step 6: Final answer
    x = 349.51

Related Problems

Find fourth proportional to 321.94, 482.90 and 116.51
Half scale
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Double scale
Find fourth proportional to 644.88, 967.30 and 234.01
Similar ratio
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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.