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Finding the Fourth Proportional to 442.55, 659.66 and 435.26

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Solution

The fourth proportional to 442.55, 659.66 and 435.26 is: 648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.55 : 659.66 = 435.26 : x
  2. Step 2: Convert to fraction form
    442.55/659.66 = 435.26/x
  3. Step 3: Cross multiply
    442.55x = 659.66 × 435.26
  4. Step 4: Simplify right side
    442.55x = 287,118.14
  5. Step 5: Solve for x
    x = 287,118.14/442.55
  6. Step 6: Final answer
    x = 648.79

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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.