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Finding the Fourth Proportional to 707.63, 975.88 and 442.09

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Solution

The fourth proportional to 707.63, 975.88 and 442.09 is: 609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.63 : 975.88 = 442.09 : x
  2. Step 2: Convert to fraction form
    707.63/975.88 = 442.09/x
  3. Step 3: Cross multiply
    707.63x = 975.88 × 442.09
  4. Step 4: Simplify right side
    707.63x = 431,428.56
  5. Step 5: Solve for x
    x = 431,428.56/707.63
  6. Step 6: Final answer
    x = 609.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.