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Finding the Fourth Proportional to 706.50, 1,060.56 and 321.84

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Solution

The fourth proportional to 706.50, 1,060.56 and 321.84 is: 483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.50 : 1,060.56 = 321.84 : x
  2. Step 2: Convert to fraction form
    706.50/1,060.56 = 321.84/x
  3. Step 3: Cross multiply
    706.50x = 1,060.56 × 321.84
  4. Step 4: Simplify right side
    706.50x = 341,330.63
  5. Step 5: Solve for x
    x = 341,330.63/706.50
  6. Step 6: Final answer
    x = 483.13

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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.