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Finding the Fourth Proportional to 738.16, 1,019.08 and 489.82

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Solution

The fourth proportional to 738.16, 1,019.08 and 489.82 is: 676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.16 : 1,019.08 = 489.82 : x
  2. Step 2: Convert to fraction form
    738.16/1,019.08 = 489.82/x
  3. Step 3: Cross multiply
    738.16x = 1,019.08 × 489.82
  4. Step 4: Simplify right side
    738.16x = 499,160.67
  5. Step 5: Solve for x
    x = 499,160.67/738.16
  6. Step 6: Final answer
    x = 676.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.