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Finding the Fourth Proportional to 543.79, 816.72 and 339.79

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Solution

The fourth proportional to 543.79, 816.72 and 339.79 is: 510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.79 : 816.72 = 339.79 : x
  2. Step 2: Convert to fraction form
    543.79/816.72 = 339.79/x
  3. Step 3: Cross multiply
    543.79x = 816.72 × 339.79
  4. Step 4: Simplify right side
    543.79x = 277,513.04
  5. Step 5: Solve for x
    x = 277,513.04/543.79
  6. Step 6: Final answer
    x = 510.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.