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Finding the Fourth Proportional to 760.42, 1,141.02 and 321.97

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Solution

The fourth proportional to 760.42, 1,141.02 and 321.97 is: 483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.42 : 1,141.02 = 321.97 : x
  2. Step 2: Convert to fraction form
    760.42/1,141.02 = 321.97/x
  3. Step 3: Cross multiply
    760.42x = 1,141.02 × 321.97
  4. Step 4: Simplify right side
    760.42x = 367,374.21
  5. Step 5: Solve for x
    x = 367,374.21/760.42
  6. Step 6: Final answer
    x = 483.12

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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.