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Finding the Fourth Proportional to 1,411.85, 1,948.36 and 790.85

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Solution

The fourth proportional to 1,411.85, 1,948.36 and 790.85 is: 1,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.85 : 1,948.36 = 790.85 : x
  2. Step 2: Convert to fraction form
    1,411.85/1,948.36 = 790.85/x
  3. Step 3: Cross multiply
    1,411.85x = 1,948.36 × 790.85
  4. Step 4: Simplify right side
    1,411.85x = 1,540,860.51
  5. Step 5: Solve for x
    x = 1,540,860.51/1,411.85
  6. Step 6: Final answer
    x = 1,091.38

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Half scale
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Double scale
Find fourth proportional to 1,412.85, 1,949.74 and 791.85
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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.