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Finding the Fourth Proportional to 583.15, 878.73 and 482.69

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Solution

The fourth proportional to 583.15, 878.73 and 482.69 is: 727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.15 : 878.73 = 482.69 : x
  2. Step 2: Convert to fraction form
    583.15/878.73 = 482.69/x
  3. Step 3: Cross multiply
    583.15x = 878.73 × 482.69
  4. Step 4: Simplify right side
    583.15x = 424,154.18
  5. Step 5: Solve for x
    x = 424,154.18/583.15
  6. Step 6: Final answer
    x = 727.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.