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Finding the Fourth Proportional to 535.94, 802.49 and 431.26

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Solution

The fourth proportional to 535.94, 802.49 and 431.26 is: 645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.94 : 802.49 = 431.26 : x
  2. Step 2: Convert to fraction form
    535.94/802.49 = 431.26/x
  3. Step 3: Cross multiply
    535.94x = 802.49 × 431.26
  4. Step 4: Simplify right side
    535.94x = 346,083.92
  5. Step 5: Solve for x
    x = 346,083.92/535.94
  6. Step 6: Final answer
    x = 645.76

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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.