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Finding the Fourth Proportional to 543.49, 750.12 and 322.57

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Solution

The fourth proportional to 543.49, 750.12 and 322.57 is: 445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.49 : 750.12 = 322.57 : x
  2. Step 2: Convert to fraction form
    543.49/750.12 = 322.57/x
  3. Step 3: Cross multiply
    543.49x = 750.12 × 322.57
  4. Step 4: Simplify right side
    543.49x = 241,966.21
  5. Step 5: Solve for x
    x = 241,966.21/543.49
  6. Step 6: Final answer
    x = 445.21

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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.