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Finding the Fourth Proportional to 619.93, 855.03 and 423.10

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Solution

The fourth proportional to 619.93, 855.03 and 423.10 is: 583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.93 : 855.03 = 423.10 : x
  2. Step 2: Convert to fraction form
    619.93/855.03 = 423.10/x
  3. Step 3: Cross multiply
    619.93x = 855.03 × 423.10
  4. Step 4: Simplify right side
    619.93x = 361,763.19
  5. Step 5: Solve for x
    x = 361,763.19/619.93
  6. Step 6: Final answer
    x = 583.55

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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.