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Finding the Fourth Proportional to 543.63, 750.21 and 310.77

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Solution

The fourth proportional to 543.63, 750.21 and 310.77 is: 428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.63 : 750.21 = 310.77 : x
  2. Step 2: Convert to fraction form
    543.63/750.21 = 310.77/x
  3. Step 3: Cross multiply
    543.63x = 750.21 × 310.77
  4. Step 4: Simplify right side
    543.63x = 233,142.76
  5. Step 5: Solve for x
    x = 233,142.76/543.63
  6. Step 6: Final answer
    x = 428.86

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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.