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Finding the Fourth Proportional to 1,011.97, 1,518.55 and 395.65

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Solution

The fourth proportional to 1,011.97, 1,518.55 and 395.65 is: 593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.97 : 1,518.55 = 395.65 : x
  2. Step 2: Convert to fraction form
    1,011.97/1,518.55 = 395.65/x
  3. Step 3: Cross multiply
    1,011.97x = 1,518.55 × 395.65
  4. Step 4: Simplify right side
    1,011.97x = 600,804.74
  5. Step 5: Solve for x
    x = 600,804.74/1,011.97
  6. Step 6: Final answer
    x = 593.70

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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.