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Finding the Fourth Proportional to 489.84, 675.84 and 315.24

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Solution

The fourth proportional to 489.84, 675.84 and 315.24 is: 434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.84 : 675.84 = 315.24 : x
  2. Step 2: Convert to fraction form
    489.84/675.84 = 315.24/x
  3. Step 3: Cross multiply
    489.84x = 675.84 × 315.24
  4. Step 4: Simplify right side
    489.84x = 213,051.80
  5. Step 5: Solve for x
    x = 213,051.80/489.84
  6. Step 6: Final answer
    x = 434.94

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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.