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Finding the Fourth Proportional to 739, 1,019.28 and 473.59

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Solution

The fourth proportional to 739, 1,019.28 and 473.59 is: 653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    739 : 1,019.28 = 473.59 : x
  2. Step 2: Convert to fraction form
    739/1,019.28 = 473.59/x
  3. Step 3: Cross multiply
    739x = 1,019.28 × 473.59
  4. Step 4: Simplify right side
    739x = 482,720.82
  5. Step 5: Solve for x
    x = 482,720.82/739
  6. Step 6: Final answer
    x = 653.21

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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.