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Finding the Fourth Proportional to 582.35, 875.12 and 308.63

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Solution

The fourth proportional to 582.35, 875.12 and 308.63 is: 463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.35 : 875.12 = 308.63 : x
  2. Step 2: Convert to fraction form
    582.35/875.12 = 308.63/x
  3. Step 3: Cross multiply
    582.35x = 875.12 × 308.63
  4. Step 4: Simplify right side
    582.35x = 270,082.37
  5. Step 5: Solve for x
    x = 270,082.37/582.35
  6. Step 6: Final answer
    x = 463.78

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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.