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Finding the Fourth Proportional to 489.78, 672.57 and 471.56

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Solution

The fourth proportional to 489.78, 672.57 and 471.56 is: 647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.78 : 672.57 = 471.56 : x
  2. Step 2: Convert to fraction form
    489.78/672.57 = 471.56/x
  3. Step 3: Cross multiply
    489.78x = 672.57 × 471.56
  4. Step 4: Simplify right side
    489.78x = 317,153.75
  5. Step 5: Solve for x
    x = 317,153.75/489.78
  6. Step 6: Final answer
    x = 647.54

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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.