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Finding the Fourth Proportional to 437.16, 599.67 and 428.05

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Solution

The fourth proportional to 437.16, 599.67 and 428.05 is: 587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.16 : 599.67 = 428.05 : x
  2. Step 2: Convert to fraction form
    437.16/599.67 = 428.05/x
  3. Step 3: Cross multiply
    437.16x = 599.67 × 428.05
  4. Step 4: Simplify right side
    437.16x = 256,689.49
  5. Step 5: Solve for x
    x = 256,689.49/437.16
  6. Step 6: Final answer
    x = 587.17

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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.