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Finding the Fourth Proportional to 1,039.50, 1,559.08 and 423.21

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Solution

The fourth proportional to 1,039.50, 1,559.08 and 423.21 is: 634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.50 : 1,559.08 = 423.21 : x
  2. Step 2: Convert to fraction form
    1,039.50/1,559.08 = 423.21/x
  3. Step 3: Cross multiply
    1,039.50x = 1,559.08 × 423.21
  4. Step 4: Simplify right side
    1,039.50x = 659,818.25
  5. Step 5: Solve for x
    x = 659,818.25/1,039.50
  6. Step 6: Final answer
    x = 634.75

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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.