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Finding the Fourth Proportional to 747.35, 1,120.26 and 503.95

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Solution

The fourth proportional to 747.35, 1,120.26 and 503.95 is: 755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.35 : 1,120.26 = 503.95 : x
  2. Step 2: Convert to fraction form
    747.35/1,120.26 = 503.95/x
  3. Step 3: Cross multiply
    747.35x = 1,120.26 × 503.95
  4. Step 4: Simplify right side
    747.35x = 564,555.03
  5. Step 5: Solve for x
    x = 564,555.03/747.35
  6. Step 6: Final answer
    x = 755.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.