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Finding the Fourth Proportional to 433.56, 602.48 and 429.12

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Solution

The fourth proportional to 433.56, 602.48 and 429.12 is: 596.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.56 : 602.48 = 429.12 : x
  2. Step 2: Convert to fraction form
    433.56/602.48 = 429.12/x
  3. Step 3: Cross multiply
    433.56x = 602.48 × 429.12
  4. Step 4: Simplify right side
    433.56x = 258,534.07
  5. Step 5: Solve for x
    x = 258,534.07/433.56
  6. Step 6: Final answer
    x = 596.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.