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Finding the Fourth Proportional to 488.70, 675.34 and 472.70

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Solution

The fourth proportional to 488.70, 675.34 and 472.70 is: 653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.70 : 675.34 = 472.70 : x
  2. Step 2: Convert to fraction form
    488.70/675.34 = 472.70/x
  3. Step 3: Cross multiply
    488.70x = 675.34 × 472.70
  4. Step 4: Simplify right side
    488.70x = 319,233.72
  5. Step 5: Solve for x
    x = 319,233.72/488.70
  6. Step 6: Final answer
    x = 653.23

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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.