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Finding the Fourth Proportional to 643.50, 964.85 and 460.44

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Solution

The fourth proportional to 643.50, 964.85 and 460.44 is: 690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.50 : 964.85 = 460.44 : x
  2. Step 2: Convert to fraction form
    643.50/964.85 = 460.44/x
  3. Step 3: Cross multiply
    643.50x = 964.85 × 460.44
  4. Step 4: Simplify right side
    643.50x = 444,253.23
  5. Step 5: Solve for x
    x = 444,253.23/643.50
  6. Step 6: Final answer
    x = 690.37

Related Problems

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Half scale
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Double scale
Find fourth proportional to 644.50, 966.34 and 461.44
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.