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Finding the Fourth Proportional to 1,065.51, 1,597.31 and 416.09

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Solution

The fourth proportional to 1,065.51, 1,597.31 and 416.09 is: 623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.51 : 1,597.31 = 416.09 : x
  2. Step 2: Convert to fraction form
    1,065.51/1,597.31 = 416.09/x
  3. Step 3: Cross multiply
    1,065.51x = 1,597.31 × 416.09
  4. Step 4: Simplify right side
    1,065.51x = 664,614.65
  5. Step 5: Solve for x
    x = 664,614.65/1,065.51
  6. Step 6: Final answer
    x = 623.75

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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.