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Finding the Fourth Proportional to 535.91, 802.81 and 419.82

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Solution

The fourth proportional to 535.91, 802.81 and 419.82 is: 628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.91 : 802.81 = 419.82 : x
  2. Step 2: Convert to fraction form
    535.91/802.81 = 419.82/x
  3. Step 3: Cross multiply
    535.91x = 802.81 × 419.82
  4. Step 4: Simplify right side
    535.91x = 337,031.63
  5. Step 5: Solve for x
    x = 337,031.63/535.91
  6. Step 6: Final answer
    x = 628.89

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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.