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Finding the Fourth Proportional to 572.68, 854.78 and 514.36

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Solution

The fourth proportional to 572.68, 854.78 and 514.36 is: 767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.68 : 854.78 = 514.36 : x
  2. Step 2: Convert to fraction form
    572.68/854.78 = 514.36/x
  3. Step 3: Cross multiply
    572.68x = 854.78 × 514.36
  4. Step 4: Simplify right side
    572.68x = 439,664.64
  5. Step 5: Solve for x
    x = 439,664.64/572.68
  6. Step 6: Final answer
    x = 767.73

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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.