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Finding the Fourth Proportional to 553.47, 829.53 and 431.57

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Solution

The fourth proportional to 553.47, 829.53 and 431.57 is: 646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.47 : 829.53 = 431.57 : x
  2. Step 2: Convert to fraction form
    553.47/829.53 = 431.57/x
  3. Step 3: Cross multiply
    553.47x = 829.53 × 431.57
  4. Step 4: Simplify right side
    553.47x = 357,996.11
  5. Step 5: Solve for x
    x = 357,996.11/553.47
  6. Step 6: Final answer
    x = 646.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.