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Finding the Fourth Proportional to 429.06, 596.21 and 424.60

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Solution

The fourth proportional to 429.06, 596.21 and 424.60 is: 590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.06 : 596.21 = 424.60 : x
  2. Step 2: Convert to fraction form
    429.06/596.21 = 424.60/x
  3. Step 3: Cross multiply
    429.06x = 596.21 × 424.60
  4. Step 4: Simplify right side
    429.06x = 253,150.77
  5. Step 5: Solve for x
    x = 253,150.77/429.06
  6. Step 6: Final answer
    x = 590.01

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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.