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Finding the Fourth Proportional to 553.68, 824.76 and 538.20

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Solution

The fourth proportional to 553.68, 824.76 and 538.20 is: 801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.68 : 824.76 = 538.20 : x
  2. Step 2: Convert to fraction form
    553.68/824.76 = 538.20/x
  3. Step 3: Cross multiply
    553.68x = 824.76 × 538.20
  4. Step 4: Simplify right side
    553.68x = 443,885.83
  5. Step 5: Solve for x
    x = 443,885.83/553.68
  6. Step 6: Final answer
    x = 801.70

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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.