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Finding the Fourth Proportional to 753.18, 1,039.41 and 504.24

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Solution

The fourth proportional to 753.18, 1,039.41 and 504.24 is: 695.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.18 : 1,039.41 = 504.24 : x
  2. Step 2: Convert to fraction form
    753.18/1,039.41 = 504.24/x
  3. Step 3: Cross multiply
    753.18x = 1,039.41 × 504.24
  4. Step 4: Simplify right side
    753.18x = 524,112.10
  5. Step 5: Solve for x
    x = 524,112.10/753.18
  6. Step 6: Final answer
    x = 695.87

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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.