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Finding the Fourth Proportional to 1,110.25, 1,665.52 and 379.63

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Solution

The fourth proportional to 1,110.25, 1,665.52 and 379.63 is: 569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.25 : 1,665.52 = 379.63 : x
  2. Step 2: Convert to fraction form
    1,110.25/1,665.52 = 379.63/x
  3. Step 3: Cross multiply
    1,110.25x = 1,665.52 × 379.63
  4. Step 4: Simplify right side
    1,110.25x = 632,281.36
  5. Step 5: Solve for x
    x = 632,281.36/1,110.25
  6. Step 6: Final answer
    x = 569.49

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Double scale
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1.5x scale

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.