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Finding the Fourth Proportional to 435.20, 596.26 and 429.13

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Solution

The fourth proportional to 435.20, 596.26 and 429.13 is: 587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.20 : 596.26 = 429.13 : x
  2. Step 2: Convert to fraction form
    435.20/596.26 = 429.13/x
  3. Step 3: Cross multiply
    435.20x = 596.26 × 429.13
  4. Step 4: Simplify right side
    435.20x = 255,870.07
  5. Step 5: Solve for x
    x = 255,870.07/435.20
  6. Step 6: Final answer
    x = 587.94

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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.