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Finding the Fourth Proportional to 672.65, 1,005.07 and 486.67

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Solution

The fourth proportional to 672.65, 1,005.07 and 486.67 is: 727.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.65 : 1,005.07 = 486.67 : x
  2. Step 2: Convert to fraction form
    672.65/1,005.07 = 486.67/x
  3. Step 3: Cross multiply
    672.65x = 1,005.07 × 486.67
  4. Step 4: Simplify right side
    672.65x = 489,134.98
  5. Step 5: Solve for x
    x = 489,134.98/672.65
  6. Step 6: Final answer
    x = 727.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.