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Finding the Fourth Proportional to 1,057.35, 1,586.20 and 364.09

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Solution

The fourth proportional to 1,057.35, 1,586.20 and 364.09 is: 546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.35 : 1,586.20 = 364.09 : x
  2. Step 2: Convert to fraction form
    1,057.35/1,586.20 = 364.09/x
  3. Step 3: Cross multiply
    1,057.35x = 1,586.20 × 364.09
  4. Step 4: Simplify right side
    1,057.35x = 577,519.56
  5. Step 5: Solve for x
    x = 577,519.56/1,057.35
  6. Step 6: Final answer
    x = 546.20

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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.