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Finding the Fourth Proportional to 760.14, 1,138.86 and 451.08

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Solution

The fourth proportional to 760.14, 1,138.86 and 451.08 is: 675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.14 : 1,138.86 = 451.08 : x
  2. Step 2: Convert to fraction form
    760.14/1,138.86 = 451.08/x
  3. Step 3: Cross multiply
    760.14x = 1,138.86 × 451.08
  4. Step 4: Simplify right side
    760.14x = 513,716.97
  5. Step 5: Solve for x
    x = 513,716.97/760.14
  6. Step 6: Final answer
    x = 675.82

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