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Finding the Fourth Proportional to 753.39, 1,035.99 and 730.35

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Solution

The fourth proportional to 753.39, 1,035.99 and 730.35 is: 1,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.39 : 1,035.99 = 730.35 : x
  2. Step 2: Convert to fraction form
    753.39/1,035.99 = 730.35/x
  3. Step 3: Cross multiply
    753.39x = 1,035.99 × 730.35
  4. Step 4: Simplify right side
    753.39x = 756,635.30
  5. Step 5: Solve for x
    x = 756,635.30/753.39
  6. Step 6: Final answer
    x = 1,004.31

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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.