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Finding the Fourth Proportional to 435.85, 596.13 and 429.37

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Solution

The fourth proportional to 435.85, 596.13 and 429.37 is: 587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.85 : 596.13 = 429.37 : x
  2. Step 2: Convert to fraction form
    435.85/596.13 = 429.37/x
  3. Step 3: Cross multiply
    435.85x = 596.13 × 429.37
  4. Step 4: Simplify right side
    435.85x = 255,960.34
  5. Step 5: Solve for x
    x = 255,960.34/435.85
  6. Step 6: Final answer
    x = 587.27

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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.