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Finding the Fourth Proportional to 488.06, 670.11 and 475.37

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Solution

The fourth proportional to 488.06, 670.11 and 475.37 is: 652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.06 : 670.11 = 475.37 : x
  2. Step 2: Convert to fraction form
    488.06/670.11 = 475.37/x
  3. Step 3: Cross multiply
    488.06x = 670.11 × 475.37
  4. Step 4: Simplify right side
    488.06x = 318,547.57
  5. Step 5: Solve for x
    x = 318,547.57/488.06
  6. Step 6: Final answer
    x = 652.68

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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.