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Finding the Fourth Proportional to 760.32, 1,139.54 and 321.56

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Solution

The fourth proportional to 760.32, 1,139.54 and 321.56 is: 481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.32 : 1,139.54 = 321.56 : x
  2. Step 2: Convert to fraction form
    760.32/1,139.54 = 321.56/x
  3. Step 3: Cross multiply
    760.32x = 1,139.54 × 321.56
  4. Step 4: Simplify right side
    760.32x = 366,430.48
  5. Step 5: Solve for x
    x = 366,430.48/760.32
  6. Step 6: Final answer
    x = 481.94

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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.