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Finding the Fourth Proportional to 436.65, 651.06 and 420.84

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Solution

The fourth proportional to 436.65, 651.06 and 420.84 is: 627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.65 : 651.06 = 420.84 : x
  2. Step 2: Convert to fraction form
    436.65/651.06 = 420.84/x
  3. Step 3: Cross multiply
    436.65x = 651.06 × 420.84
  4. Step 4: Simplify right side
    436.65x = 273,992.09
  5. Step 5: Solve for x
    x = 273,992.09/436.65
  6. Step 6: Final answer
    x = 627.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.