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Finding the Fourth Proportional to 553.78, 832.08 and 503.23

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Solution

The fourth proportional to 553.78, 832.08 and 503.23 is: 756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.78 : 832.08 = 503.23 : x
  2. Step 2: Convert to fraction form
    553.78/832.08 = 503.23/x
  3. Step 3: Cross multiply
    553.78x = 832.08 × 503.23
  4. Step 4: Simplify right side
    553.78x = 418,727.62
  5. Step 5: Solve for x
    x = 418,727.62/553.78
  6. Step 6: Final answer
    x = 756.13

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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.