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Finding the Fourth Proportional to 754.86, 1,132.35 and 322.02

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Solution

The fourth proportional to 754.86, 1,132.35 and 322.02 is: 483.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.86 : 1,132.35 = 322.02 : x
  2. Step 2: Convert to fraction form
    754.86/1,132.35 = 322.02/x
  3. Step 3: Cross multiply
    754.86x = 1,132.35 × 322.02
  4. Step 4: Simplify right side
    754.86x = 364,639.35
  5. Step 5: Solve for x
    x = 364,639.35/754.86
  6. Step 6: Final answer
    x = 483.06

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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.