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Finding the Fourth Proportional to 566.45, 848.19 and 412.73

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Solution

The fourth proportional to 566.45, 848.19 and 412.73 is: 618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.45 : 848.19 = 412.73 : x
  2. Step 2: Convert to fraction form
    566.45/848.19 = 412.73/x
  3. Step 3: Cross multiply
    566.45x = 848.19 × 412.73
  4. Step 4: Simplify right side
    566.45x = 350,073.46
  5. Step 5: Solve for x
    x = 350,073.46/566.45
  6. Step 6: Final answer
    x = 618.01

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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.