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Finding the Fourth Proportional to 693.88, 1,041.03 and 416.54

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Solution

The fourth proportional to 693.88, 1,041.03 and 416.54 is: 624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.88 : 1,041.03 = 416.54 : x
  2. Step 2: Convert to fraction form
    693.88/1,041.03 = 416.54/x
  3. Step 3: Cross multiply
    693.88x = 1,041.03 × 416.54
  4. Step 4: Simplify right side
    693.88x = 433,633.24
  5. Step 5: Solve for x
    x = 433,633.24/693.88
  6. Step 6: Final answer
    x = 624.94

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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.