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Finding the Fourth Proportional to 543.69, 750.27 and 310.83

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Solution

The fourth proportional to 543.69, 750.27 and 310.83 is: 428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.69 : 750.27 = 310.83 : x
  2. Step 2: Convert to fraction form
    543.69/750.27 = 310.83/x
  3. Step 3: Cross multiply
    543.69x = 750.27 × 310.83
  4. Step 4: Simplify right side
    543.69x = 233,206.42
  5. Step 5: Solve for x
    x = 233,206.42/543.69
  6. Step 6: Final answer
    x = 428.93

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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.