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Finding the Fourth Proportional to 583.40, 879.12 and 482.95

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Solution

The fourth proportional to 583.40, 879.12 and 482.95 is: 727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.40 : 879.12 = 482.95 : x
  2. Step 2: Convert to fraction form
    583.40/879.12 = 482.95/x
  3. Step 3: Cross multiply
    583.40x = 879.12 × 482.95
  4. Step 4: Simplify right side
    583.40x = 424,568.81
  5. Step 5: Solve for x
    x = 424,568.81/583.40
  6. Step 6: Final answer
    x = 727.75

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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.