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Finding the Fourth Proportional to 693.87, 1,040.72 and 303.72

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Solution

The fourth proportional to 693.87, 1,040.72 and 303.72 is: 455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.87 : 1,040.72 = 303.72 : x
  2. Step 2: Convert to fraction form
    693.87/1,040.72 = 303.72/x
  3. Step 3: Cross multiply
    693.87x = 1,040.72 × 303.72
  4. Step 4: Simplify right side
    693.87x = 316,085.96
  5. Step 5: Solve for x
    x = 316,085.96/693.87
  6. Step 6: Final answer
    x = 455.54

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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.