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Finding the Fourth Proportional to 569.62, 786.72 and 440.20

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Solution

The fourth proportional to 569.62, 786.72 and 440.20 is: 607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.62 : 786.72 = 440.20 : x
  2. Step 2: Convert to fraction form
    569.62/786.72 = 440.20/x
  3. Step 3: Cross multiply
    569.62x = 786.72 × 440.20
  4. Step 4: Simplify right side
    569.62x = 346,314.14
  5. Step 5: Solve for x
    x = 346,314.14/569.62
  6. Step 6: Final answer
    x = 607.97

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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.