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Finding the Fourth Proportional to 760.72, 1,141.63 and 273.82

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Solution

The fourth proportional to 760.72, 1,141.63 and 273.82 is: 410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.72 : 1,141.63 = 273.82 : x
  2. Step 2: Convert to fraction form
    760.72/1,141.63 = 273.82/x
  3. Step 3: Cross multiply
    760.72x = 1,141.63 × 273.82
  4. Step 4: Simplify right side
    760.72x = 312,601.13
  5. Step 5: Solve for x
    x = 312,601.13/760.72
  6. Step 6: Final answer
    x = 410.93

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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.