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Finding the Fourth Proportional to 553.04, 824.18 and 540.24

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Solution

The fourth proportional to 553.04, 824.18 and 540.24 is: 805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.04 : 824.18 = 540.24 : x
  2. Step 2: Convert to fraction form
    553.04/824.18 = 540.24/x
  3. Step 3: Cross multiply
    553.04x = 824.18 × 540.24
  4. Step 4: Simplify right side
    553.04x = 445,255.00
  5. Step 5: Solve for x
    x = 445,255.00/553.04
  6. Step 6: Final answer
    x = 805.10

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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.