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Finding the Fourth Proportional to 657.62, 985.57 and 573.81

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Solution

The fourth proportional to 657.62, 985.57 and 573.81 is: 859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.62 : 985.57 = 573.81 : x
  2. Step 2: Convert to fraction form
    657.62/985.57 = 573.81/x
  3. Step 3: Cross multiply
    657.62x = 985.57 × 573.81
  4. Step 4: Simplify right side
    657.62x = 565,533.11
  5. Step 5: Solve for x
    x = 565,533.11/657.62
  6. Step 6: Final answer
    x = 859.97

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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.