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Finding the Fourth Proportional to 543.68, 814.14 and 390.59

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Solution

The fourth proportional to 543.68, 814.14 and 390.59 is: 584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.68 : 814.14 = 390.59 : x
  2. Step 2: Convert to fraction form
    543.68/814.14 = 390.59/x
  3. Step 3: Cross multiply
    543.68x = 814.14 × 390.59
  4. Step 4: Simplify right side
    543.68x = 317,994.94
  5. Step 5: Solve for x
    x = 317,994.94/543.68
  6. Step 6: Final answer
    x = 584.89

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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.