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Finding the Fourth Proportional to 700.82, 1,050.96 and 284.37

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Solution

The fourth proportional to 700.82, 1,050.96 and 284.37 is: 426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.82 : 1,050.96 = 284.37 : x
  2. Step 2: Convert to fraction form
    700.82/1,050.96 = 284.37/x
  3. Step 3: Cross multiply
    700.82x = 1,050.96 × 284.37
  4. Step 4: Simplify right side
    700.82x = 298,861.50
  5. Step 5: Solve for x
    x = 298,861.50/700.82
  6. Step 6: Final answer
    x = 426.45

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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.