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Finding the Fourth Proportional to 900.27, 1,349.31 and 412.65

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Solution

The fourth proportional to 900.27, 1,349.31 and 412.65 is: 618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.27 : 1,349.31 = 412.65 : x
  2. Step 2: Convert to fraction form
    900.27/1,349.31 = 412.65/x
  3. Step 3: Cross multiply
    900.27x = 1,349.31 × 412.65
  4. Step 4: Simplify right side
    900.27x = 556,792.77
  5. Step 5: Solve for x
    x = 556,792.77/900.27
  6. Step 6: Final answer
    x = 618.47

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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.