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Finding the Fourth Proportional to 583.92, 873.99 and 320.00

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Solution

The fourth proportional to 583.92, 873.99 and 320.00 is: 478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.92 : 873.99 = 320.00 : x
  2. Step 2: Convert to fraction form
    583.92/873.99 = 320.00/x
  3. Step 3: Cross multiply
    583.92x = 873.99 × 320.00
  4. Step 4: Simplify right side
    583.92x = 279,672.43
  5. Step 5: Solve for x
    x = 279,672.43/583.92
  6. Step 6: Final answer
    x = 478.96

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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.