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Finding the Fourth Proportional to 703.65, 971.70 and 455.19

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Solution

The fourth proportional to 703.65, 971.70 and 455.19 is: 628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.65 : 971.70 = 455.19 : x
  2. Step 2: Convert to fraction form
    703.65/971.70 = 455.19/x
  3. Step 3: Cross multiply
    703.65x = 971.70 × 455.19
  4. Step 4: Simplify right side
    703.65x = 442,308.12
  5. Step 5: Solve for x
    x = 442,308.12/703.65
  6. Step 6: Final answer
    x = 628.59

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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.