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Finding the Fourth Proportional to 723.49, 1,084.37 and 284.21

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Solution

The fourth proportional to 723.49, 1,084.37 and 284.21 is: 425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.49 : 1,084.37 = 284.21 : x
  2. Step 2: Convert to fraction form
    723.49/1,084.37 = 284.21/x
  3. Step 3: Cross multiply
    723.49x = 1,084.37 × 284.21
  4. Step 4: Simplify right side
    723.49x = 308,188.80
  5. Step 5: Solve for x
    x = 308,188.80/723.49
  6. Step 6: Final answer
    x = 425.98

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.