Home / 1,056.30-1,584.32-406.57

Finding the Fourth Proportional to 1,056.30, 1,584.32 and 406.57

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Solution

The fourth proportional to 1,056.30, 1,584.32 and 406.57 is: 609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.30 : 1,584.32 = 406.57 : x
  2. Step 2: Convert to fraction form
    1,056.30/1,584.32 = 406.57/x
  3. Step 3: Cross multiply
    1,056.30x = 1,584.32 × 406.57
  4. Step 4: Simplify right side
    1,056.30x = 644,136.98
  5. Step 5: Solve for x
    x = 644,136.98/1,056.30
  6. Step 6: Final answer
    x = 609.80

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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.