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Finding the Fourth Proportional to 442.08, 606.60 and 429.84

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Solution

The fourth proportional to 442.08, 606.60 and 429.84 is: 589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.08 : 606.60 = 429.84 : x
  2. Step 2: Convert to fraction form
    442.08/606.60 = 429.84/x
  3. Step 3: Cross multiply
    442.08x = 606.60 × 429.84
  4. Step 4: Simplify right side
    442.08x = 260,740.94
  5. Step 5: Solve for x
    x = 260,740.94/442.08
  6. Step 6: Final answer
    x = 589.80

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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.