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Finding the Fourth Proportional to 590.80, 885.58 and 385.46

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Solution

The fourth proportional to 590.80, 885.58 and 385.46 is: 577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.80 : 885.58 = 385.46 : x
  2. Step 2: Convert to fraction form
    590.80/885.58 = 385.46/x
  3. Step 3: Cross multiply
    590.80x = 885.58 × 385.46
  4. Step 4: Simplify right side
    590.80x = 341,355.67
  5. Step 5: Solve for x
    x = 341,355.67/590.80
  6. Step 6: Final answer
    x = 577.79

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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.