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Finding the Fourth Proportional to 439.83, 599.40 and 438.21

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Solution

The fourth proportional to 439.83, 599.40 and 438.21 is: 597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.83 : 599.40 = 438.21 : x
  2. Step 2: Convert to fraction form
    439.83/599.40 = 438.21/x
  3. Step 3: Cross multiply
    439.83x = 599.40 × 438.21
  4. Step 4: Simplify right side
    439.83x = 262,663.07
  5. Step 5: Solve for x
    x = 262,663.07/439.83
  6. Step 6: Final answer
    x = 597.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.