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Finding the Fourth Proportional to 574.01, 792.12 and 312.02

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Solution

The fourth proportional to 574.01, 792.12 and 312.02 is: 430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.01 : 792.12 = 312.02 : x
  2. Step 2: Convert to fraction form
    574.01/792.12 = 312.02/x
  3. Step 3: Cross multiply
    574.01x = 792.12 × 312.02
  4. Step 4: Simplify right side
    574.01x = 247,157.28
  5. Step 5: Solve for x
    x = 247,157.28/574.01
  6. Step 6: Final answer
    x = 430.58

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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.