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Finding the Fourth Proportional to 1,011.06, 1,515.72 and 394.62

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Solution

The fourth proportional to 1,011.06, 1,515.72 and 394.62 is: 591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.06 : 1,515.72 = 394.62 : x
  2. Step 2: Convert to fraction form
    1,011.06/1,515.72 = 394.62/x
  3. Step 3: Cross multiply
    1,011.06x = 1,515.72 × 394.62
  4. Step 4: Simplify right side
    1,011.06x = 598,133.43
  5. Step 5: Solve for x
    x = 598,133.43/1,011.06
  6. Step 6: Final answer
    x = 591.59

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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.