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Finding the Fourth Proportional to 753.39, 1,039.50 and 421.79

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Solution

The fourth proportional to 753.39, 1,039.50 and 421.79 is: 581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.39 : 1,039.50 = 421.79 : x
  2. Step 2: Convert to fraction form
    753.39/1,039.50 = 421.79/x
  3. Step 3: Cross multiply
    753.39x = 1,039.50 × 421.79
  4. Step 4: Simplify right side
    753.39x = 438,445.51
  5. Step 5: Solve for x
    x = 438,445.51/753.39
  6. Step 6: Final answer
    x = 581.96

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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.