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Finding the Fourth Proportional to 657.29, 906.72 and 533.09

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Solution

The fourth proportional to 657.29, 906.72 and 533.09 is: 735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.29 : 906.72 = 533.09 : x
  2. Step 2: Convert to fraction form
    657.29/906.72 = 533.09/x
  3. Step 3: Cross multiply
    657.29x = 906.72 × 533.09
  4. Step 4: Simplify right side
    657.29x = 483,363.36
  5. Step 5: Solve for x
    x = 483,363.36/657.29
  6. Step 6: Final answer
    x = 735.39

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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.