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Finding the Fourth Proportional to 435.03, 599.49 and 407.22

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Solution

The fourth proportional to 435.03, 599.49 and 407.22 is: 561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.03 : 599.49 = 407.22 : x
  2. Step 2: Convert to fraction form
    435.03/599.49 = 407.22/x
  3. Step 3: Cross multiply
    435.03x = 599.49 × 407.22
  4. Step 4: Simplify right side
    435.03x = 244,124.32
  5. Step 5: Solve for x
    x = 244,124.32/435.03
  6. Step 6: Final answer
    x = 561.17

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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.