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Finding the Fourth Proportional to 489.52, 675.36 and 384.64

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Solution

The fourth proportional to 489.52, 675.36 and 384.64 is: 530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.52 : 675.36 = 384.64 : x
  2. Step 2: Convert to fraction form
    489.52/675.36 = 384.64/x
  3. Step 3: Cross multiply
    489.52x = 675.36 × 384.64
  4. Step 4: Simplify right side
    489.52x = 259,770.47
  5. Step 5: Solve for x
    x = 259,770.47/489.52
  6. Step 6: Final answer
    x = 530.66

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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.