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Finding the Fourth Proportional to 641.25, 965.75 and 569.03

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Solution

The fourth proportional to 641.25, 965.75 and 569.03 is: 856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.25 : 965.75 = 569.03 : x
  2. Step 2: Convert to fraction form
    641.25/965.75 = 569.03/x
  3. Step 3: Cross multiply
    641.25x = 965.75 × 569.03
  4. Step 4: Simplify right side
    641.25x = 549,533.05
  5. Step 5: Solve for x
    x = 549,533.05/641.25
  6. Step 6: Final answer
    x = 856.97

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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.