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Finding the Fourth Proportional to 703.87, 971.04 and 455.22

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Solution

The fourth proportional to 703.87, 971.04 and 455.22 is: 628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.87 : 971.04 = 455.22 : x
  2. Step 2: Convert to fraction form
    703.87/971.04 = 455.22/x
  3. Step 3: Cross multiply
    703.87x = 971.04 × 455.22
  4. Step 4: Simplify right side
    703.87x = 442,036.83
  5. Step 5: Solve for x
    x = 442,036.83/703.87
  6. Step 6: Final answer
    x = 628.01

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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.