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Finding the Fourth Proportional to 489.02, 672.75 and 475.35

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Solution

The fourth proportional to 489.02, 672.75 and 475.35 is: 653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.02 : 672.75 = 475.35 : x
  2. Step 2: Convert to fraction form
    489.02/672.75 = 475.35/x
  3. Step 3: Cross multiply
    489.02x = 672.75 × 475.35
  4. Step 4: Simplify right side
    489.02x = 319,791.71
  5. Step 5: Solve for x
    x = 319,791.71/489.02
  6. Step 6: Final answer
    x = 653.95

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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.