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Finding the Fourth Proportional to 583.96, 876.36 and 340.56

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Solution

The fourth proportional to 583.96, 876.36 and 340.56 is: 511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.96 : 876.36 = 340.56 : x
  2. Step 2: Convert to fraction form
    583.96/876.36 = 340.56/x
  3. Step 3: Cross multiply
    583.96x = 876.36 × 340.56
  4. Step 4: Simplify right side
    583.96x = 298,453.16
  5. Step 5: Solve for x
    x = 298,453.16/583.96
  6. Step 6: Final answer
    x = 511.08

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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.