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Finding the Fourth Proportional to 489.64, 675.66 and 342.76

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Solution

The fourth proportional to 489.64, 675.66 and 342.76 is: 472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.64 : 675.66 = 342.76 : x
  2. Step 2: Convert to fraction form
    489.64/675.66 = 342.76/x
  3. Step 3: Cross multiply
    489.64x = 675.66 × 342.76
  4. Step 4: Simplify right side
    489.64x = 231,589.22
  5. Step 5: Solve for x
    x = 231,589.22/489.64
  6. Step 6: Final answer
    x = 472.98

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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.