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Finding the Fourth Proportional to 536.88, 798.48 and 531.12

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Solution

The fourth proportional to 536.88, 798.48 and 531.12 is: 789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.88 : 798.48 = 531.12 : x
  2. Step 2: Convert to fraction form
    536.88/798.48 = 531.12/x
  3. Step 3: Cross multiply
    536.88x = 798.48 × 531.12
  4. Step 4: Simplify right side
    536.88x = 424,088.70
  5. Step 5: Solve for x
    x = 424,088.70/536.88
  6. Step 6: Final answer
    x = 789.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.