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Finding the Fourth Proportional to 1,084.55, 1,496.61 and 665.60

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Solution

The fourth proportional to 1,084.55, 1,496.61 and 665.60 is: 918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.55 : 1,496.61 = 665.60 : x
  2. Step 2: Convert to fraction form
    1,084.55/1,496.61 = 665.60/x
  3. Step 3: Cross multiply
    1,084.55x = 1,496.61 × 665.60
  4. Step 4: Simplify right side
    1,084.55x = 996,136.13
  5. Step 5: Solve for x
    x = 996,136.13/1,084.55
  6. Step 6: Final answer
    x = 918.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.