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Finding the Fourth Proportional to 1,079.49, 1,616.91 and 617.03

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Solution

The fourth proportional to 1,079.49, 1,616.91 and 617.03 is: 924.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.49 : 1,616.91 = 617.03 : x
  2. Step 2: Convert to fraction form
    1,079.49/1,616.91 = 617.03/x
  3. Step 3: Cross multiply
    1,079.49x = 1,616.91 × 617.03
  4. Step 4: Simplify right side
    1,079.49x = 997,673.89
  5. Step 5: Solve for x
    x = 997,673.89/1,079.49
  6. Step 6: Final answer
    x = 924.21

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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.