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Finding the Fourth Proportional to 1,170.09, 1,614.75 and 646.14

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Solution

The fourth proportional to 1,170.09, 1,614.75 and 646.14 is: 891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.09 : 1,614.75 = 646.14 : x
  2. Step 2: Convert to fraction form
    1,170.09/1,614.75 = 646.14/x
  3. Step 3: Cross multiply
    1,170.09x = 1,614.75 × 646.14
  4. Step 4: Simplify right side
    1,170.09x = 1,043,354.57
  5. Step 5: Solve for x
    x = 1,043,354.57/1,170.09
  6. Step 6: Final answer
    x = 891.69

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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.