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Finding the Fourth Proportional to 568.02, 856.22 and 521.21

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Solution

The fourth proportional to 568.02, 856.22 and 521.21 is: 785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.02 : 856.22 = 521.21 : x
  2. Step 2: Convert to fraction form
    568.02/856.22 = 521.21/x
  3. Step 3: Cross multiply
    568.02x = 856.22 × 521.21
  4. Step 4: Simplify right side
    568.02x = 446,269.96
  5. Step 5: Solve for x
    x = 446,269.96/568.02
  6. Step 6: Final answer
    x = 785.65

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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.