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Finding the Fourth Proportional to 491.25, 673.02 and 472.80

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Solution

The fourth proportional to 491.25, 673.02 and 472.80 is: 647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.25 : 673.02 = 472.80 : x
  2. Step 2: Convert to fraction form
    491.25/673.02 = 472.80/x
  3. Step 3: Cross multiply
    491.25x = 673.02 × 472.80
  4. Step 4: Simplify right side
    491.25x = 318,203.86
  5. Step 5: Solve for x
    x = 318,203.86/491.25
  6. Step 6: Final answer
    x = 647.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.