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Finding the Fourth Proportional to 583.31, 878.99 and 482.85

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Solution

The fourth proportional to 583.31, 878.99 and 482.85 is: 727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.31 : 878.99 = 482.85 : x
  2. Step 2: Convert to fraction form
    583.31/878.99 = 482.85/x
  3. Step 3: Cross multiply
    583.31x = 878.99 × 482.85
  4. Step 4: Simplify right side
    583.31x = 424,417.91
  5. Step 5: Solve for x
    x = 424,417.91/583.31
  6. Step 6: Final answer
    x = 727.60

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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.