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Finding the Fourth Proportional to 1,244.20, 1,866.90 and 782.19

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Solution

The fourth proportional to 1,244.20, 1,866.90 and 782.19 is: 1,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.20 : 1,866.90 = 782.19 : x
  2. Step 2: Convert to fraction form
    1,244.20/1,866.90 = 782.19/x
  3. Step 3: Cross multiply
    1,244.20x = 1,866.90 × 782.19
  4. Step 4: Simplify right side
    1,244.20x = 1,460,281.87
  5. Step 5: Solve for x
    x = 1,460,281.87/1,244.20
  6. Step 6: Final answer
    x = 1,173.67

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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.