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Finding the Fourth Proportional to 568.85, 785.22 and 444.01

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Solution

The fourth proportional to 568.85, 785.22 and 444.01 is: 612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.85 : 785.22 = 444.01 : x
  2. Step 2: Convert to fraction form
    568.85/785.22 = 444.01/x
  3. Step 3: Cross multiply
    568.85x = 785.22 × 444.01
  4. Step 4: Simplify right side
    568.85x = 348,645.53
  5. Step 5: Solve for x
    x = 348,645.53/568.85
  6. Step 6: Final answer
    x = 612.90

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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.