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Finding the Fourth Proportional to 565.57, 848.22 and 419.50

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Solution

The fourth proportional to 565.57, 848.22 and 419.50 is: 629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.57 : 848.22 = 419.50 : x
  2. Step 2: Convert to fraction form
    565.57/848.22 = 419.50/x
  3. Step 3: Cross multiply
    565.57x = 848.22 × 419.50
  4. Step 4: Simplify right side
    565.57x = 355,828.29
  5. Step 5: Solve for x
    x = 355,828.29/565.57
  6. Step 6: Final answer
    x = 629.15

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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.