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Finding the Fourth Proportional to 423.90, 584.78 and 415.66

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Solution

The fourth proportional to 423.90, 584.78 and 415.66 is: 573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.90 : 584.78 = 415.66 : x
  2. Step 2: Convert to fraction form
    423.90/584.78 = 415.66/x
  3. Step 3: Cross multiply
    423.90x = 584.78 × 415.66
  4. Step 4: Simplify right side
    423.90x = 243,069.65
  5. Step 5: Solve for x
    x = 243,069.65/423.90
  6. Step 6: Final answer
    x = 573.41

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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.