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Finding the Fourth Proportional to 643.38, 964.74 and 253.08

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Solution

The fourth proportional to 643.38, 964.74 and 253.08 is: 379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.38 : 964.74 = 253.08 : x
  2. Step 2: Convert to fraction form
    643.38/964.74 = 253.08/x
  3. Step 3: Cross multiply
    643.38x = 964.74 × 253.08
  4. Step 4: Simplify right side
    643.38x = 244,156.40
  5. Step 5: Solve for x
    x = 244,156.40/643.38
  6. Step 6: Final answer
    x = 379.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 644.38, 966.24 and 254.08
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.