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Finding the Fourth Proportional to 599.60, 827.06 and 412.76

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Solution

The fourth proportional to 599.60, 827.06 and 412.76 is: 569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.60 : 827.06 = 412.76 : x
  2. Step 2: Convert to fraction form
    599.60/827.06 = 412.76/x
  3. Step 3: Cross multiply
    599.60x = 827.06 × 412.76
  4. Step 4: Simplify right side
    599.60x = 341,377.28
  5. Step 5: Solve for x
    x = 341,377.28/599.60
  6. Step 6: Final answer
    x = 569.34

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1.5x scale

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.