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Finding the Fourth Proportional to 703.97, 972.05 and 442.07

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Solution

The fourth proportional to 703.97, 972.05 and 442.07 is: 610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.97 : 972.05 = 442.07 : x
  2. Step 2: Convert to fraction form
    703.97/972.05 = 442.07/x
  3. Step 3: Cross multiply
    703.97x = 972.05 × 442.07
  4. Step 4: Simplify right side
    703.97x = 429,707.07
  5. Step 5: Solve for x
    x = 429,707.07/703.97
  6. Step 6: Final answer
    x = 610.41

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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.