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Finding the Fourth Proportional to 764.23, 1,054.09 and 701.42

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Solution

The fourth proportional to 764.23, 1,054.09 and 701.42 is: 967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.23 : 1,054.09 = 701.42 : x
  2. Step 2: Convert to fraction form
    764.23/1,054.09 = 701.42/x
  3. Step 3: Cross multiply
    764.23x = 1,054.09 × 701.42
  4. Step 4: Simplify right side
    764.23x = 739,355.41
  5. Step 5: Solve for x
    x = 739,355.41/764.23
  6. Step 6: Final answer
    x = 967.45

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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.