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Finding the Fourth Proportional to 583.78, 875.10 and 310.03

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Solution

The fourth proportional to 583.78, 875.10 and 310.03 is: 464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.78 : 875.10 = 310.03 : x
  2. Step 2: Convert to fraction form
    583.78/875.10 = 310.03/x
  3. Step 3: Cross multiply
    583.78x = 875.10 × 310.03
  4. Step 4: Simplify right side
    583.78x = 271,306.23
  5. Step 5: Solve for x
    x = 271,306.23/583.78
  6. Step 6: Final answer
    x = 464.74

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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.