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Finding the Fourth Proportional to 569.08, 855.78 and 478.36

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Solution

The fourth proportional to 569.08, 855.78 and 478.36 is: 719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.08 : 855.78 = 478.36 : x
  2. Step 2: Convert to fraction form
    569.08/855.78 = 478.36/x
  3. Step 3: Cross multiply
    569.08x = 855.78 × 478.36
  4. Step 4: Simplify right side
    569.08x = 409,370.92
  5. Step 5: Solve for x
    x = 409,370.92/569.08
  6. Step 6: Final answer
    x = 719.36

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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.