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Finding the Fourth Proportional to 553.03, 824.78 and 534.80

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Solution

The fourth proportional to 553.03, 824.78 and 534.80 is: 797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.03 : 824.78 = 534.80 : x
  2. Step 2: Convert to fraction form
    553.03/824.78 = 534.80/x
  3. Step 3: Cross multiply
    553.03x = 824.78 × 534.80
  4. Step 4: Simplify right side
    553.03x = 441,095.74
  5. Step 5: Solve for x
    x = 441,095.74/553.03
  6. Step 6: Final answer
    x = 797.60

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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.