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Finding the Fourth Proportional to 491.40, 676.62 and 417.42

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Solution

The fourth proportional to 491.40, 676.62 and 417.42 is: 574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.40 : 676.62 = 417.42 : x
  2. Step 2: Convert to fraction form
    491.40/676.62 = 417.42/x
  3. Step 3: Cross multiply
    491.40x = 676.62 × 417.42
  4. Step 4: Simplify right side
    491.40x = 282,434.72
  5. Step 5: Solve for x
    x = 282,434.72/491.40
  6. Step 6: Final answer
    x = 574.76

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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.