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Finding the Fourth Proportional to 575.79, 794.07 and 407.86

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Solution

The fourth proportional to 575.79, 794.07 and 407.86 is: 562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.79 : 794.07 = 407.86 : x
  2. Step 2: Convert to fraction form
    575.79/794.07 = 407.86/x
  3. Step 3: Cross multiply
    575.79x = 794.07 × 407.86
  4. Step 4: Simplify right side
    575.79x = 323,869.39
  5. Step 5: Solve for x
    x = 323,869.39/575.79
  6. Step 6: Final answer
    x = 562.48

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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.