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Finding the Fourth Proportional to 749.09, 1,123.55 and 474.35

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Solution

The fourth proportional to 749.09, 1,123.55 and 474.35 is: 711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.09 : 1,123.55 = 474.35 : x
  2. Step 2: Convert to fraction form
    749.09/1,123.55 = 474.35/x
  3. Step 3: Cross multiply
    749.09x = 1,123.55 × 474.35
  4. Step 4: Simplify right side
    749.09x = 532,947.95
  5. Step 5: Solve for x
    x = 532,947.95/749.09
  6. Step 6: Final answer
    x = 711.47

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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.