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Finding the Fourth Proportional to 703.25, 1,054.86 and 313.15

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Solution

The fourth proportional to 703.25, 1,054.86 and 313.15 is: 469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.25 : 1,054.86 = 313.15 : x
  2. Step 2: Convert to fraction form
    703.25/1,054.86 = 313.15/x
  3. Step 3: Cross multiply
    703.25x = 1,054.86 × 313.15
  4. Step 4: Simplify right side
    703.25x = 330,327.58
  5. Step 5: Solve for x
    x = 330,327.58/703.25
  6. Step 6: Final answer
    x = 469.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.