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Finding the Fourth Proportional to 883.26, 1,323.06 and 420.36

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Solution

The fourth proportional to 883.26, 1,323.06 and 420.36 is: 629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.26 : 1,323.06 = 420.36 : x
  2. Step 2: Convert to fraction form
    883.26/1,323.06 = 420.36/x
  3. Step 3: Cross multiply
    883.26x = 1,323.06 × 420.36
  4. Step 4: Simplify right side
    883.26x = 556,161.50
  5. Step 5: Solve for x
    x = 556,161.50/883.26
  6. Step 6: Final answer
    x = 629.67

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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.