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Finding the Fourth Proportional to 583.80, 873.06 and 519.18

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Solution

The fourth proportional to 583.80, 873.06 and 519.18 is: 776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.80 : 873.06 = 519.18 : x
  2. Step 2: Convert to fraction form
    583.80/873.06 = 519.18/x
  3. Step 3: Cross multiply
    583.80x = 873.06 × 519.18
  4. Step 4: Simplify right side
    583.80x = 453,275.29
  5. Step 5: Solve for x
    x = 453,275.29/583.80
  6. Step 6: Final answer
    x = 776.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.