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Finding the Fourth Proportional to 546, 823.16 and 516

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Solution

The fourth proportional to 546, 823.16 and 516 is: 777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546 : 823.16 = 516 : x
  2. Step 2: Convert to fraction form
    546/823.16 = 516/x
  3. Step 3: Cross multiply
    546x = 823.16 × 516
  4. Step 4: Simplify right side
    546x = 424,750.56
  5. Step 5: Solve for x
    x = 424,750.56/546
  6. Step 6: Final answer
    x = 777.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.