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Finding the Fourth Proportional to 543.82, 750.47 and 295.14

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Solution

The fourth proportional to 543.82, 750.47 and 295.14 is: 407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.82 : 750.47 = 295.14 : x
  2. Step 2: Convert to fraction form
    543.82/750.47 = 295.14/x
  3. Step 3: Cross multiply
    543.82x = 750.47 × 295.14
  4. Step 4: Simplify right side
    543.82x = 221,493.04
  5. Step 5: Solve for x
    x = 221,493.04/543.82
  6. Step 6: Final answer
    x = 407.29

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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.