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Finding the Fourth Proportional to 729.46, 1,089.31 and 573.64

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Solution

The fourth proportional to 729.46, 1,089.31 and 573.64 is: 856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.46 : 1,089.31 = 573.64 : x
  2. Step 2: Convert to fraction form
    729.46/1,089.31 = 573.64/x
  3. Step 3: Cross multiply
    729.46x = 1,089.31 × 573.64
  4. Step 4: Simplify right side
    729.46x = 624,871.79
  5. Step 5: Solve for x
    x = 624,871.79/729.46
  6. Step 6: Final answer
    x = 856.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.