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Finding the Fourth Proportional to 753.05, 1,038.81 and 504.43

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Solution

The fourth proportional to 753.05, 1,038.81 and 504.43 is: 695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.05 : 1,038.81 = 504.43 : x
  2. Step 2: Convert to fraction form
    753.05/1,038.81 = 504.43/x
  3. Step 3: Cross multiply
    753.05x = 1,038.81 × 504.43
  4. Step 4: Simplify right side
    753.05x = 524,005.51
  5. Step 5: Solve for x
    x = 524,005.51/753.05
  6. Step 6: Final answer
    x = 695.85

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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.