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Finding the Fourth Proportional to 643.47, 965.35 and 462.23

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Solution

The fourth proportional to 643.47, 965.35 and 462.23 is: 693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.47 : 965.35 = 462.23 : x
  2. Step 2: Convert to fraction form
    643.47/965.35 = 462.23/x
  3. Step 3: Cross multiply
    643.47x = 965.35 × 462.23
  4. Step 4: Simplify right side
    643.47x = 446,213.10
  5. Step 5: Solve for x
    x = 446,213.10/643.47
  6. Step 6: Final answer
    x = 693.45

Related Problems

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Half scale
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Double scale
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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.