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Finding the Fourth Proportional to 574, 792.14 and 312.02

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Solution

The fourth proportional to 574, 792.14 and 312.02 is: 430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    574 : 792.14 = 312.02 : x
  2. Step 2: Convert to fraction form
    574/792.14 = 312.02/x
  3. Step 3: Cross multiply
    574x = 792.14 × 312.02
  4. Step 4: Simplify right side
    574x = 247,163.52
  5. Step 5: Solve for x
    x = 247,163.52/574
  6. Step 6: Final answer
    x = 430.60

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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.