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Finding the Fourth Proportional to 491.88, 673.86 and 473.40

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Solution

The fourth proportional to 491.88, 673.86 and 473.40 is: 648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.88 : 673.86 = 473.40 : x
  2. Step 2: Convert to fraction form
    491.88/673.86 = 473.40/x
  3. Step 3: Cross multiply
    491.88x = 673.86 × 473.40
  4. Step 4: Simplify right side
    491.88x = 319,005.32
  5. Step 5: Solve for x
    x = 319,005.32/491.88
  6. Step 6: Final answer
    x = 648.54

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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.