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Finding the Fourth Proportional to 721.18, 1,075.60 and 617.50

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Solution

The fourth proportional to 721.18, 1,075.60 and 617.50 is: 920.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.18 : 1,075.60 = 617.50 : x
  2. Step 2: Convert to fraction form
    721.18/1,075.60 = 617.50/x
  3. Step 3: Cross multiply
    721.18x = 1,075.60 × 617.50
  4. Step 4: Simplify right side
    721.18x = 664,183
  5. Step 5: Solve for x
    x = 664,183/721.18
  6. Step 6: Final answer
    x = 920.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.