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Finding the Fourth Proportional to 543.84, 750.68 and 322.71

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Solution

The fourth proportional to 543.84, 750.68 and 322.71 is: 445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.84 : 750.68 = 322.71 : x
  2. Step 2: Convert to fraction form
    543.84/750.68 = 322.71/x
  3. Step 3: Cross multiply
    543.84x = 750.68 × 322.71
  4. Step 4: Simplify right side
    543.84x = 242,251.94
  5. Step 5: Solve for x
    x = 242,251.94/543.84
  6. Step 6: Final answer
    x = 445.45

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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.