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Finding the Fourth Proportional to 924.09, 1,383.24 and 489.93

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Solution

The fourth proportional to 924.09, 1,383.24 and 489.93 is: 733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.09 : 1,383.24 = 489.93 : x
  2. Step 2: Convert to fraction form
    924.09/1,383.24 = 489.93/x
  3. Step 3: Cross multiply
    924.09x = 1,383.24 × 489.93
  4. Step 4: Simplify right side
    924.09x = 677,690.77
  5. Step 5: Solve for x
    x = 677,690.77/924.09
  6. Step 6: Final answer
    x = 733.36

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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.