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Finding the Fourth Proportional to 753.92, 1,039.80 and 505.16

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Solution

The fourth proportional to 753.92, 1,039.80 and 505.16 is: 696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.92 : 1,039.80 = 505.16 : x
  2. Step 2: Convert to fraction form
    753.92/1,039.80 = 505.16/x
  3. Step 3: Cross multiply
    753.92x = 1,039.80 × 505.16
  4. Step 4: Simplify right side
    753.92x = 525,265.37
  5. Step 5: Solve for x
    x = 525,265.37/753.92
  6. Step 6: Final answer
    x = 696.71

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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.