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Finding the Fourth Proportional to 575.45, 793.40 and 417.96

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Solution

The fourth proportional to 575.45, 793.40 and 417.96 is: 576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.45 : 793.40 = 417.96 : x
  2. Step 2: Convert to fraction form
    575.45/793.40 = 417.96/x
  3. Step 3: Cross multiply
    575.45x = 793.40 × 417.96
  4. Step 4: Simplify right side
    575.45x = 331,607.37
  5. Step 5: Solve for x
    x = 331,607.37/575.45
  6. Step 6: Final answer
    x = 576.25

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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.