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Finding the Fourth Proportional to 753.46, 1,039.98 and 504.79

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Solution

The fourth proportional to 753.46, 1,039.98 and 504.79 is: 696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.46 : 1,039.98 = 504.79 : x
  2. Step 2: Convert to fraction form
    753.46/1,039.98 = 504.79/x
  3. Step 3: Cross multiply
    753.46x = 1,039.98 × 504.79
  4. Step 4: Simplify right side
    753.46x = 524,971.50
  5. Step 5: Solve for x
    x = 524,971.50/753.46
  6. Step 6: Final answer
    x = 696.75

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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.