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Finding the Fourth Proportional to 760.57, 1,140.81 and 273.49

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Solution

The fourth proportional to 760.57, 1,140.81 and 273.49 is: 410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.57 : 1,140.81 = 273.49 : x
  2. Step 2: Convert to fraction form
    760.57/1,140.81 = 273.49/x
  3. Step 3: Cross multiply
    760.57x = 1,140.81 × 273.49
  4. Step 4: Simplify right side
    760.57x = 312,000.13
  5. Step 5: Solve for x
    x = 312,000.13/760.57
  6. Step 6: Final answer
    x = 410.22

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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.