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Finding the Fourth Proportional to 1,110.69, 1,532.49 and 638.55

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Solution

The fourth proportional to 1,110.69, 1,532.49 and 638.55 is: 881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.69 : 1,532.49 = 638.55 : x
  2. Step 2: Convert to fraction form
    1,110.69/1,532.49 = 638.55/x
  3. Step 3: Cross multiply
    1,110.69x = 1,532.49 × 638.55
  4. Step 4: Simplify right side
    1,110.69x = 978,571.49
  5. Step 5: Solve for x
    x = 978,571.49/1,110.69
  6. Step 6: Final answer
    x = 881.05

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Double scale
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1.5x scale

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.