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Finding the Fourth Proportional to 412.13, 612.90 and 399.16

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Solution

The fourth proportional to 412.13, 612.90 and 399.16 is: 593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.13 : 612.90 = 399.16 : x
  2. Step 2: Convert to fraction form
    412.13/612.90 = 399.16/x
  3. Step 3: Cross multiply
    412.13x = 612.90 × 399.16
  4. Step 4: Simplify right side
    412.13x = 244,643.63
  5. Step 5: Solve for x
    x = 244,643.63/412.13
  6. Step 6: Final answer
    x = 593.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.