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Finding the Fourth Proportional to 543.69, 813.65 and 445.05

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Solution

The fourth proportional to 543.69, 813.65 and 445.05 is: 666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.69 : 813.65 = 445.05 : x
  2. Step 2: Convert to fraction form
    543.69/813.65 = 445.05/x
  3. Step 3: Cross multiply
    543.69x = 813.65 × 445.05
  4. Step 4: Simplify right side
    543.69x = 362,112.71
  5. Step 5: Solve for x
    x = 362,112.71/543.69
  6. Step 6: Final answer
    x = 666.03

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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.