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Finding the Fourth Proportional to 569.28, 785.10 and 412.95

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Solution

The fourth proportional to 569.28, 785.10 and 412.95 is: 569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.28 : 785.10 = 412.95 : x
  2. Step 2: Convert to fraction form
    569.28/785.10 = 412.95/x
  3. Step 3: Cross multiply
    569.28x = 785.10 × 412.95
  4. Step 4: Simplify right side
    569.28x = 324,207.05
  5. Step 5: Solve for x
    x = 324,207.05/569.28
  6. Step 6: Final answer
    x = 569.50

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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.