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Finding the Fourth Proportional to 575.60, 795.02 and 417.98

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Solution

The fourth proportional to 575.60, 795.02 and 417.98 is: 577.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.60 : 795.02 = 417.98 : x
  2. Step 2: Convert to fraction form
    575.60/795.02 = 417.98/x
  3. Step 3: Cross multiply
    575.60x = 795.02 × 417.98
  4. Step 4: Simplify right side
    575.60x = 332,296.39
  5. Step 5: Solve for x
    x = 332,296.39/575.60
  6. Step 6: Final answer
    x = 577.31

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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.