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Finding the Fourth Proportional to 749.55, 1,123.23 and 556.23

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Solution

The fourth proportional to 749.55, 1,123.23 and 556.23 is: 833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.55 : 1,123.23 = 556.23 : x
  2. Step 2: Convert to fraction form
    749.55/1,123.23 = 556.23/x
  3. Step 3: Cross multiply
    749.55x = 1,123.23 × 556.23
  4. Step 4: Simplify right side
    749.55x = 624,774.22
  5. Step 5: Solve for x
    x = 624,774.22/749.55
  6. Step 6: Final answer
    x = 833.53

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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.