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Finding the Fourth Proportional to 543.50, 750.02 and 294.82

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Solution

The fourth proportional to 543.50, 750.02 and 294.82 is: 406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.50 : 750.02 = 294.82 : x
  2. Step 2: Convert to fraction form
    543.50/750.02 = 294.82/x
  3. Step 3: Cross multiply
    543.50x = 750.02 × 294.82
  4. Step 4: Simplify right side
    543.50x = 221,115.67
  5. Step 5: Solve for x
    x = 221,115.67/543.50
  6. Step 6: Final answer
    x = 406.84

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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.