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Finding the Fourth Proportional to 420.51, 581.60 and 376.83

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Solution

The fourth proportional to 420.51, 581.60 and 376.83 is: 521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.51 : 581.60 = 376.83 : x
  2. Step 2: Convert to fraction form
    420.51/581.60 = 376.83/x
  3. Step 3: Cross multiply
    420.51x = 581.60 × 376.83
  4. Step 4: Simplify right side
    420.51x = 219,162.44
  5. Step 5: Solve for x
    x = 219,162.44/420.51
  6. Step 6: Final answer
    x = 521.18

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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.