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Finding the Fourth Proportional to 1,046.99, 1,570.49 and 306.65

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Solution

The fourth proportional to 1,046.99, 1,570.49 and 306.65 is: 459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.99 : 1,570.49 = 306.65 : x
  2. Step 2: Convert to fraction form
    1,046.99/1,570.49 = 306.65/x
  3. Step 3: Cross multiply
    1,046.99x = 1,570.49 × 306.65
  4. Step 4: Simplify right side
    1,046.99x = 481,583.67
  5. Step 5: Solve for x
    x = 481,583.67/1,046.99
  6. Step 6: Final answer
    x = 459.97

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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.