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Finding the Fourth Proportional to 427.51, 592.44 and 419.31

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Solution

The fourth proportional to 427.51, 592.44 and 419.31 is: 581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.51 : 592.44 = 419.31 : x
  2. Step 2: Convert to fraction form
    427.51/592.44 = 419.31/x
  3. Step 3: Cross multiply
    427.51x = 592.44 × 419.31
  4. Step 4: Simplify right side
    427.51x = 248,412.53
  5. Step 5: Solve for x
    x = 248,412.53/427.51
  6. Step 6: Final answer
    x = 581.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.