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Finding the Fourth Proportional to 569.13, 852.99 and 309.25

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Solution

The fourth proportional to 569.13, 852.99 and 309.25 is: 463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.13 : 852.99 = 309.25 : x
  2. Step 2: Convert to fraction form
    569.13/852.99 = 309.25/x
  3. Step 3: Cross multiply
    569.13x = 852.99 × 309.25
  4. Step 4: Simplify right side
    569.13x = 263,787.16
  5. Step 5: Solve for x
    x = 263,787.16/569.13
  6. Step 6: Final answer
    x = 463.49

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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.