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Finding the Fourth Proportional to 553.52, 825.58 and 543.80

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Solution

The fourth proportional to 553.52, 825.58 and 543.80 is: 811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.52 : 825.58 = 543.80 : x
  2. Step 2: Convert to fraction form
    553.52/825.58 = 543.80/x
  3. Step 3: Cross multiply
    553.52x = 825.58 × 543.80
  4. Step 4: Simplify right side
    553.52x = 448,950.40
  5. Step 5: Solve for x
    x = 448,950.40/553.52
  6. Step 6: Final answer
    x = 811.08

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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.