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Finding the Fourth Proportional to 531.36, 798.66 and 424.44

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Solution

The fourth proportional to 531.36, 798.66 and 424.44 is: 637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.36 : 798.66 = 424.44 : x
  2. Step 2: Convert to fraction form
    531.36/798.66 = 424.44/x
  3. Step 3: Cross multiply
    531.36x = 798.66 × 424.44
  4. Step 4: Simplify right side
    531.36x = 338,983.25
  5. Step 5: Solve for x
    x = 338,983.25/531.36
  6. Step 6: Final answer
    x = 637.95

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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.