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Finding the Fourth Proportional to 583.56, 875.54 and 309.85

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Solution

The fourth proportional to 583.56, 875.54 and 309.85 is: 464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.56 : 875.54 = 309.85 : x
  2. Step 2: Convert to fraction form
    583.56/875.54 = 309.85/x
  3. Step 3: Cross multiply
    583.56x = 875.54 × 309.85
  4. Step 4: Simplify right side
    583.56x = 271,284.65
  5. Step 5: Solve for x
    x = 271,284.65/583.56
  6. Step 6: Final answer
    x = 464.88

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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.