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Finding the Fourth Proportional to 578.51, 798.06 and 420.90

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Solution

The fourth proportional to 578.51, 798.06 and 420.90 is: 580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.51 : 798.06 = 420.90 : x
  2. Step 2: Convert to fraction form
    578.51/798.06 = 420.90/x
  3. Step 3: Cross multiply
    578.51x = 798.06 × 420.90
  4. Step 4: Simplify right side
    578.51x = 335,903.45
  5. Step 5: Solve for x
    x = 335,903.45/578.51
  6. Step 6: Final answer
    x = 580.64

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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.