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Finding the Fourth Proportional to 491.84, 675.19 and 487.23

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Solution

The fourth proportional to 491.84, 675.19 and 487.23 is: 668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.84 : 675.19 = 487.23 : x
  2. Step 2: Convert to fraction form
    491.84/675.19 = 487.23/x
  3. Step 3: Cross multiply
    491.84x = 675.19 × 487.23
  4. Step 4: Simplify right side
    491.84x = 328,971.61
  5. Step 5: Solve for x
    x = 328,971.61/491.84
  6. Step 6: Final answer
    x = 668.86

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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.