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Finding the Fourth Proportional to 489.69, 675.55 and 332.50

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Solution

The fourth proportional to 489.69, 675.55 and 332.50 is: 458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.69 : 675.55 = 332.50 : x
  2. Step 2: Convert to fraction form
    489.69/675.55 = 332.50/x
  3. Step 3: Cross multiply
    489.69x = 675.55 × 332.50
  4. Step 4: Simplify right side
    489.69x = 224,620.38
  5. Step 5: Solve for x
    x = 224,620.38/489.69
  6. Step 6: Final answer
    x = 458.70

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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.