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Finding the Fourth Proportional to 439.81, 607.41 and 412.16

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Solution

The fourth proportional to 439.81, 607.41 and 412.16 is: 569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.81 : 607.41 = 412.16 : x
  2. Step 2: Convert to fraction form
    439.81/607.41 = 412.16/x
  3. Step 3: Cross multiply
    439.81x = 607.41 × 412.16
  4. Step 4: Simplify right side
    439.81x = 250,347.07
  5. Step 5: Solve for x
    x = 250,347.07/439.81
  6. Step 6: Final answer
    x = 569.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.