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Finding the Fourth Proportional to 489.87, 672.33 and 436.20

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Solution

The fourth proportional to 489.87, 672.33 and 436.20 is: 598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.87 : 672.33 = 436.20 : x
  2. Step 2: Convert to fraction form
    489.87/672.33 = 436.20/x
  3. Step 3: Cross multiply
    489.87x = 672.33 × 436.20
  4. Step 4: Simplify right side
    489.87x = 293,270.35
  5. Step 5: Solve for x
    x = 293,270.35/489.87
  6. Step 6: Final answer
    x = 598.67

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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.