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Finding the Fourth Proportional to 645.19, 971.41 and 568.63

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Solution

The fourth proportional to 645.19, 971.41 and 568.63 is: 856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.19 : 971.41 = 568.63 : x
  2. Step 2: Convert to fraction form
    645.19/971.41 = 568.63/x
  3. Step 3: Cross multiply
    645.19x = 971.41 × 568.63
  4. Step 4: Simplify right side
    645.19x = 552,372.87
  5. Step 5: Solve for x
    x = 552,372.87/645.19
  6. Step 6: Final answer
    x = 856.14

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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.