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Finding the Fourth Proportional to 1,288.85, 1,779.17 and 993.60

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Solution

The fourth proportional to 1,288.85, 1,779.17 and 993.60 is: 1,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.85 : 1,779.17 = 993.60 : x
  2. Step 2: Convert to fraction form
    1,288.85/1,779.17 = 993.60/x
  3. Step 3: Cross multiply
    1,288.85x = 1,779.17 × 993.60
  4. Step 4: Simplify right side
    1,288.85x = 1,767,778.34
  5. Step 5: Solve for x
    x = 1,767,778.34/1,288.85
  6. Step 6: Final answer
    x = 1,371.60

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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.