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Finding the Fourth Proportional to 543.74, 810.43 and 512.98

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Solution

The fourth proportional to 543.74, 810.43 and 512.98 is: 764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.74 : 810.43 = 512.98 : x
  2. Step 2: Convert to fraction form
    543.74/810.43 = 512.98/x
  3. Step 3: Cross multiply
    543.74x = 810.43 × 512.98
  4. Step 4: Simplify right side
    543.74x = 415,731.07
  5. Step 5: Solve for x
    x = 415,731.07/543.74
  6. Step 6: Final answer
    x = 764.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.