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Finding the Fourth Proportional to 568.68, 785.07 and 394.53

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Solution

The fourth proportional to 568.68, 785.07 and 394.53 is: 544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.68 : 785.07 = 394.53 : x
  2. Step 2: Convert to fraction form
    568.68/785.07 = 394.53/x
  3. Step 3: Cross multiply
    568.68x = 785.07 × 394.53
  4. Step 4: Simplify right side
    568.68x = 309,733.67
  5. Step 5: Solve for x
    x = 309,733.67/568.68
  6. Step 6: Final answer
    x = 544.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.