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Finding the Fourth Proportional to 760.07, 1,139.64 and 349.33

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Solution

The fourth proportional to 760.07, 1,139.64 and 349.33 is: 523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.07 : 1,139.64 = 349.33 : x
  2. Step 2: Convert to fraction form
    760.07/1,139.64 = 349.33/x
  3. Step 3: Cross multiply
    760.07x = 1,139.64 × 349.33
  4. Step 4: Simplify right side
    760.07x = 398,110.44
  5. Step 5: Solve for x
    x = 398,110.44/760.07
  6. Step 6: Final answer
    x = 523.78

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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.