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Finding the Fourth Proportional to 753.35, 1,039.61 and 421.79

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Solution

The fourth proportional to 753.35, 1,039.61 and 421.79 is: 582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.35 : 1,039.61 = 421.79 : x
  2. Step 2: Convert to fraction form
    753.35/1,039.61 = 421.79/x
  3. Step 3: Cross multiply
    753.35x = 1,039.61 × 421.79
  4. Step 4: Simplify right side
    753.35x = 438,492.96
  5. Step 5: Solve for x
    x = 438,492.96/753.35
  6. Step 6: Final answer
    x = 582.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.