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Finding the Fourth Proportional to 583.47, 875.66 and 309.66

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Solution

The fourth proportional to 583.47, 875.66 and 309.66 is: 464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.47 : 875.66 = 309.66 : x
  2. Step 2: Convert to fraction form
    583.47/875.66 = 309.66/x
  3. Step 3: Cross multiply
    583.47x = 875.66 × 309.66
  4. Step 4: Simplify right side
    583.47x = 271,156.88
  5. Step 5: Solve for x
    x = 271,156.88/583.47
  6. Step 6: Final answer
    x = 464.73

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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.