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Finding the Fourth Proportional to 748.84, 1,121.04 and 617.62

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Solution

The fourth proportional to 748.84, 1,121.04 and 617.62 is: 924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.84 : 1,121.04 = 617.62 : x
  2. Step 2: Convert to fraction form
    748.84/1,121.04 = 617.62/x
  3. Step 3: Cross multiply
    748.84x = 1,121.04 × 617.62
  4. Step 4: Simplify right side
    748.84x = 692,376.72
  5. Step 5: Solve for x
    x = 692,376.72/748.84
  6. Step 6: Final answer
    x = 924.60

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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.