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Finding the Fourth Proportional to 906, 1,357.74 and 489.21

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Solution

The fourth proportional to 906, 1,357.74 and 489.21 is: 733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    906 : 1,357.74 = 489.21 : x
  2. Step 2: Convert to fraction form
    906/1,357.74 = 489.21/x
  3. Step 3: Cross multiply
    906x = 1,357.74 × 489.21
  4. Step 4: Simplify right side
    906x = 664,219.99
  5. Step 5: Solve for x
    x = 664,219.99/906
  6. Step 6: Final answer
    x = 733.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.