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Finding the Fourth Proportional to 693.74, 1,038.53 and 450.38

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Solution

The fourth proportional to 693.74, 1,038.53 and 450.38 is: 674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.74 : 1,038.53 = 450.38 : x
  2. Step 2: Convert to fraction form
    693.74/1,038.53 = 450.38/x
  3. Step 3: Cross multiply
    693.74x = 1,038.53 × 450.38
  4. Step 4: Simplify right side
    693.74x = 467,733.14
  5. Step 5: Solve for x
    x = 467,733.14/693.74
  6. Step 6: Final answer
    x = 674.22

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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.