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Finding the Fourth Proportional to 738.65, 1,019.26 and 458.85

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Solution

The fourth proportional to 738.65, 1,019.26 and 458.85 is: 633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.65 : 1,019.26 = 458.85 : x
  2. Step 2: Convert to fraction form
    738.65/1,019.26 = 458.85/x
  3. Step 3: Cross multiply
    738.65x = 1,019.26 × 458.85
  4. Step 4: Simplify right side
    738.65x = 467,687.45
  5. Step 5: Solve for x
    x = 467,687.45/738.65
  6. Step 6: Final answer
    x = 633.17

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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.