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Finding the Fourth Proportional to 693.60, 1,040.63 and 433.77

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Solution

The fourth proportional to 693.60, 1,040.63 and 433.77 is: 650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.60 : 1,040.63 = 433.77 : x
  2. Step 2: Convert to fraction form
    693.60/1,040.63 = 433.77/x
  3. Step 3: Cross multiply
    693.60x = 1,040.63 × 433.77
  4. Step 4: Simplify right side
    693.60x = 451,391.91
  5. Step 5: Solve for x
    x = 451,391.91/693.60
  6. Step 6: Final answer
    x = 650.80

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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.