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Finding the Fourth Proportional to 693.04, 1,039.40 and 327.48

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Solution

The fourth proportional to 693.04, 1,039.40 and 327.48 is: 491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.04 : 1,039.40 = 327.48 : x
  2. Step 2: Convert to fraction form
    693.04/1,039.40 = 327.48/x
  3. Step 3: Cross multiply
    693.04x = 1,039.40 × 327.48
  4. Step 4: Simplify right side
    693.04x = 340,382.71
  5. Step 5: Solve for x
    x = 340,382.71/693.04
  6. Step 6: Final answer
    x = 491.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.