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Finding the Fourth Proportional to 575.55, 794.22 and 313.56

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Solution

The fourth proportional to 575.55, 794.22 and 313.56 is: 432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.55 : 794.22 = 313.56 : x
  2. Step 2: Convert to fraction form
    575.55/794.22 = 313.56/x
  3. Step 3: Cross multiply
    575.55x = 794.22 × 313.56
  4. Step 4: Simplify right side
    575.55x = 249,035.62
  5. Step 5: Solve for x
    x = 249,035.62/575.55
  6. Step 6: Final answer
    x = 432.69

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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.