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Finding the Fourth Proportional to 657.30, 899.33 and 655.38

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Solution

The fourth proportional to 657.30, 899.33 and 655.38 is: 896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.30 : 899.33 = 655.38 : x
  2. Step 2: Convert to fraction form
    657.30/899.33 = 655.38/x
  3. Step 3: Cross multiply
    657.30x = 899.33 × 655.38
  4. Step 4: Simplify right side
    657.30x = 589,399.62
  5. Step 5: Solve for x
    x = 589,399.62/657.30
  6. Step 6: Final answer
    x = 896.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.