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Finding the Fourth Proportional to 546, 813.78 and 515.24

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Solution

The fourth proportional to 546, 813.78 and 515.24 is: 767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546 : 813.78 = 515.24 : x
  2. Step 2: Convert to fraction form
    546/813.78 = 515.24/x
  3. Step 3: Cross multiply
    546x = 813.78 × 515.24
  4. Step 4: Simplify right side
    546x = 419,292.01
  5. Step 5: Solve for x
    x = 419,292.01/546
  6. Step 6: Final answer
    x = 767.93

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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.