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Finding the Fourth Proportional to 1,543.94, 2,315.92 and 389.69

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Solution

The fourth proportional to 1,543.94, 2,315.92 and 389.69 is: 584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.94 : 2,315.92 = 389.69 : x
  2. Step 2: Convert to fraction form
    1,543.94/2,315.92 = 389.69/x
  3. Step 3: Cross multiply
    1,543.94x = 2,315.92 × 389.69
  4. Step 4: Simplify right side
    1,543.94x = 902,490.86
  5. Step 5: Solve for x
    x = 902,490.86/1,543.94
  6. Step 6: Final answer
    x = 584.54

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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.