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Finding the Fourth Proportional to 543.88, 750.84 and 419.27

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Solution

The fourth proportional to 543.88, 750.84 and 419.27 is: 578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.88 : 750.84 = 419.27 : x
  2. Step 2: Convert to fraction form
    543.88/750.84 = 419.27/x
  3. Step 3: Cross multiply
    543.88x = 750.84 × 419.27
  4. Step 4: Simplify right side
    543.88x = 314,800.93
  5. Step 5: Solve for x
    x = 314,800.93/543.88
  6. Step 6: Final answer
    x = 578.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.