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Finding the Fourth Proportional to 1,170.86, 1,613.93 and 890.19

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Solution

The fourth proportional to 1,170.86, 1,613.93 and 890.19 is: 1,227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.86 : 1,613.93 = 890.19 : x
  2. Step 2: Convert to fraction form
    1,170.86/1,613.93 = 890.19/x
  3. Step 3: Cross multiply
    1,170.86x = 1,613.93 × 890.19
  4. Step 4: Simplify right side
    1,170.86x = 1,436,699.90
  5. Step 5: Solve for x
    x = 1,436,699.90/1,170.86
  6. Step 6: Final answer
    x = 1,227.05

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Half scale
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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.