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Finding the Fourth Proportional to 579.64, 869.60 and 189.67

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Solution

The fourth proportional to 579.64, 869.60 and 189.67 is: 284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.64 : 869.60 = 189.67 : x
  2. Step 2: Convert to fraction form
    579.64/869.60 = 189.67/x
  3. Step 3: Cross multiply
    579.64x = 869.60 × 189.67
  4. Step 4: Simplify right side
    579.64x = 164,933.72
  5. Step 5: Solve for x
    x = 164,933.72/579.64
  6. Step 6: Final answer
    x = 284.54

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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.