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Finding the Fourth Proportional to 1,074.38, 1,612.06 and 424.94

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Solution

The fourth proportional to 1,074.38, 1,612.06 and 424.94 is: 637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.38 : 1,612.06 = 424.94 : x
  2. Step 2: Convert to fraction form
    1,074.38/1,612.06 = 424.94/x
  3. Step 3: Cross multiply
    1,074.38x = 1,612.06 × 424.94
  4. Step 4: Simplify right side
    1,074.38x = 685,019.65
  5. Step 5: Solve for x
    x = 685,019.65/1,074.38
  6. Step 6: Final answer
    x = 637.60

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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.