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Finding the Fourth Proportional to 645.54, 969.62 and 570.21

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Solution

The fourth proportional to 645.54, 969.62 and 570.21 is: 856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.54 : 969.62 = 570.21 : x
  2. Step 2: Convert to fraction form
    645.54/969.62 = 570.21/x
  3. Step 3: Cross multiply
    645.54x = 969.62 × 570.21
  4. Step 4: Simplify right side
    645.54x = 552,887.02
  5. Step 5: Solve for x
    x = 552,887.02/645.54
  6. Step 6: Final answer
    x = 856.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.