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Finding the Fourth Proportional to 760.05, 1,140.44 and 273.15

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Solution

The fourth proportional to 760.05, 1,140.44 and 273.15 is: 409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.05 : 1,140.44 = 273.15 : x
  2. Step 2: Convert to fraction form
    760.05/1,140.44 = 273.15/x
  3. Step 3: Cross multiply
    760.05x = 1,140.44 × 273.15
  4. Step 4: Simplify right side
    760.05x = 311,509.82
  5. Step 5: Solve for x
    x = 311,509.82/760.05
  6. Step 6: Final answer
    x = 409.85

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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.