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Finding the Fourth Proportional to 657.02, 905.23 and 632.72

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Solution

The fourth proportional to 657.02, 905.23 and 632.72 is: 871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.02 : 905.23 = 632.72 : x
  2. Step 2: Convert to fraction form
    657.02/905.23 = 632.72/x
  3. Step 3: Cross multiply
    657.02x = 905.23 × 632.72
  4. Step 4: Simplify right side
    657.02x = 572,757.13
  5. Step 5: Solve for x
    x = 572,757.13/657.02
  6. Step 6: Final answer
    x = 871.75

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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.