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Finding the Fourth Proportional to 657.53, 906.93 and 533.19

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Solution

The fourth proportional to 657.53, 906.93 and 533.19 is: 735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.53 : 906.93 = 533.19 : x
  2. Step 2: Convert to fraction form
    657.53/906.93 = 533.19/x
  3. Step 3: Cross multiply
    657.53x = 906.93 × 533.19
  4. Step 4: Simplify right side
    657.53x = 483,566.01
  5. Step 5: Solve for x
    x = 483,566.01/657.53
  6. Step 6: Final answer
    x = 735.43

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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.