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Finding the Fourth Proportional to 1,164.40, 1,608.42 and 968.92

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Solution

The fourth proportional to 1,164.40, 1,608.42 and 968.92 is: 1,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.40 : 1,608.42 = 968.92 : x
  2. Step 2: Convert to fraction form
    1,164.40/1,608.42 = 968.92/x
  3. Step 3: Cross multiply
    1,164.40x = 1,608.42 × 968.92
  4. Step 4: Simplify right side
    1,164.40x = 1,558,430.31
  5. Step 5: Solve for x
    x = 1,558,430.31/1,164.40
  6. Step 6: Final answer
    x = 1,338.40

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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.