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Finding the Fourth Proportional to 703.60, 971.58 and 442.06

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Solution

The fourth proportional to 703.60, 971.58 and 442.06 is: 610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.60 : 971.58 = 442.06 : x
  2. Step 2: Convert to fraction form
    703.60/971.58 = 442.06/x
  3. Step 3: Cross multiply
    703.60x = 971.58 × 442.06
  4. Step 4: Simplify right side
    703.60x = 429,496.65
  5. Step 5: Solve for x
    x = 429,496.65/703.60
  6. Step 6: Final answer
    x = 610.43

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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.