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Finding the Fourth Proportional to 569.56, 786.78 and 440.20

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Solution

The fourth proportional to 569.56, 786.78 and 440.20 is: 608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.56 : 786.78 = 440.20 : x
  2. Step 2: Convert to fraction form
    569.56/786.78 = 440.20/x
  3. Step 3: Cross multiply
    569.56x = 786.78 × 440.20
  4. Step 4: Simplify right side
    569.56x = 346,340.56
  5. Step 5: Solve for x
    x = 346,340.56/569.56
  6. Step 6: Final answer
    x = 608.08

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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.