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Finding the Fourth Proportional to 652.68, 900.18 and 573.83

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Solution

The fourth proportional to 652.68, 900.18 and 573.83 is: 791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.68 : 900.18 = 573.83 : x
  2. Step 2: Convert to fraction form
    652.68/900.18 = 573.83/x
  3. Step 3: Cross multiply
    652.68x = 900.18 × 573.83
  4. Step 4: Simplify right side
    652.68x = 516,548.85
  5. Step 5: Solve for x
    x = 516,548.85/652.68
  6. Step 6: Final answer
    x = 791.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.