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Finding the Fourth Proportional to 1,775.40, 2,662.20 and 1,045.20

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Solution

The fourth proportional to 1,775.40, 2,662.20 and 1,045.20 is: 1,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.40 : 2,662.20 = 1,045.20 : x
  2. Step 2: Convert to fraction form
    1,775.40/2,662.20 = 1,045.20/x
  3. Step 3: Cross multiply
    1,775.40x = 2,662.20 × 1,045.20
  4. Step 4: Simplify right side
    1,775.40x = 2,782,531.44
  5. Step 5: Solve for x
    x = 2,782,531.44/1,775.40
  6. Step 6: Final answer
    x = 1,567.27

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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.