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Finding the Fourth Proportional to 1,290.34, 1,779.97 and 817.38

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Solution

The fourth proportional to 1,290.34, 1,779.97 and 817.38 is: 1,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.34 : 1,779.97 = 817.38 : x
  2. Step 2: Convert to fraction form
    1,290.34/1,779.97 = 817.38/x
  3. Step 3: Cross multiply
    1,290.34x = 1,779.97 × 817.38
  4. Step 4: Simplify right side
    1,290.34x = 1,454,911.88
  5. Step 5: Solve for x
    x = 1,454,911.88/1,290.34
  6. Step 6: Final answer
    x = 1,127.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.