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Finding the Fourth Proportional to 436.64, 598.66 and 428.84

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Solution

The fourth proportional to 436.64, 598.66 and 428.84 is: 587.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.64 : 598.66 = 428.84 : x
  2. Step 2: Convert to fraction form
    436.64/598.66 = 428.84/x
  3. Step 3: Cross multiply
    436.64x = 598.66 × 428.84
  4. Step 4: Simplify right side
    436.64x = 256,729.78
  5. Step 5: Solve for x
    x = 256,729.78/436.64
  6. Step 6: Final answer
    x = 587.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.