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Finding the Fourth Proportional to 760.94, 1,140.71 and 273.87

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Solution

The fourth proportional to 760.94, 1,140.71 and 273.87 is: 410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.94 : 1,140.71 = 273.87 : x
  2. Step 2: Convert to fraction form
    760.94/1,140.71 = 273.87/x
  3. Step 3: Cross multiply
    760.94x = 1,140.71 × 273.87
  4. Step 4: Simplify right side
    760.94x = 312,406.25
  5. Step 5: Solve for x
    x = 312,406.25/760.94
  6. Step 6: Final answer
    x = 410.56

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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.