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Finding the Fourth Proportional to 535.57, 802.44 and 420.76

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Solution

The fourth proportional to 535.57, 802.44 and 420.76 is: 630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.57 : 802.44 = 420.76 : x
  2. Step 2: Convert to fraction form
    535.57/802.44 = 420.76/x
  3. Step 3: Cross multiply
    535.57x = 802.44 × 420.76
  4. Step 4: Simplify right side
    535.57x = 337,634.65
  5. Step 5: Solve for x
    x = 337,634.65/535.57
  6. Step 6: Final answer
    x = 630.42

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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.