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Finding the Fourth Proportional to 583.92, 876.16 and 259.20

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Solution

The fourth proportional to 583.92, 876.16 and 259.20 is: 388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.92 : 876.16 = 259.20 : x
  2. Step 2: Convert to fraction form
    583.92/876.16 = 259.20/x
  3. Step 3: Cross multiply
    583.92x = 876.16 × 259.20
  4. Step 4: Simplify right side
    583.92x = 227,100.67
  5. Step 5: Solve for x
    x = 227,100.67/583.92
  6. Step 6: Final answer
    x = 388.92

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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.