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Finding the Fourth Proportional to 1,476.53, 2,214.24 and 489.16

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Solution

The fourth proportional to 1,476.53, 2,214.24 and 489.16 is: 733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.53 : 2,214.24 = 489.16 : x
  2. Step 2: Convert to fraction form
    1,476.53/2,214.24 = 489.16/x
  3. Step 3: Cross multiply
    1,476.53x = 2,214.24 × 489.16
  4. Step 4: Simplify right side
    1,476.53x = 1,083,117.64
  5. Step 5: Solve for x
    x = 1,083,117.64/1,476.53
  6. Step 6: Final answer
    x = 733.56

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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.