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Finding the Fourth Proportional to 569.80, 786.07 and 345.70

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Solution

The fourth proportional to 569.80, 786.07 and 345.70 is: 476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.80 : 786.07 = 345.70 : x
  2. Step 2: Convert to fraction form
    569.80/786.07 = 345.70/x
  3. Step 3: Cross multiply
    569.80x = 786.07 × 345.70
  4. Step 4: Simplify right side
    569.80x = 271,744.40
  5. Step 5: Solve for x
    x = 271,744.40/569.80
  6. Step 6: Final answer
    x = 476.91

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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.