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Finding the Fourth Proportional to 590.49, 814.35 and 354.17

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Solution

The fourth proportional to 590.49, 814.35 and 354.17 is: 488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.49 : 814.35 = 354.17 : x
  2. Step 2: Convert to fraction form
    590.49/814.35 = 354.17/x
  3. Step 3: Cross multiply
    590.49x = 814.35 × 354.17
  4. Step 4: Simplify right side
    590.49x = 288,421.70
  5. Step 5: Solve for x
    x = 288,421.70/590.49
  6. Step 6: Final answer
    x = 488.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.