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Finding the Fourth Proportional to 442.24, 659.74 and 406.52

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Solution

The fourth proportional to 442.24, 659.74 and 406.52 is: 606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.24 : 659.74 = 406.52 : x
  2. Step 2: Convert to fraction form
    442.24/659.74 = 406.52/x
  3. Step 3: Cross multiply
    442.24x = 659.74 × 406.52
  4. Step 4: Simplify right side
    442.24x = 268,193.19
  5. Step 5: Solve for x
    x = 268,193.19/442.24
  6. Step 6: Final answer
    x = 606.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.