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Finding the Fourth Proportional to 423.63, 583.43 and 414.59

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Solution

The fourth proportional to 423.63, 583.43 and 414.59 is: 570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.63 : 583.43 = 414.59 : x
  2. Step 2: Convert to fraction form
    423.63/583.43 = 414.59/x
  3. Step 3: Cross multiply
    423.63x = 583.43 × 414.59
  4. Step 4: Simplify right side
    423.63x = 241,879.25
  5. Step 5: Solve for x
    x = 241,879.25/423.63
  6. Step 6: Final answer
    x = 570.97

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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.