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Finding the Fourth Proportional to 845.05, 1,165.10 and 646.12

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Solution

The fourth proportional to 845.05, 1,165.10 and 646.12 is: 890.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.05 : 1,165.10 = 646.12 : x
  2. Step 2: Convert to fraction form
    845.05/1,165.10 = 646.12/x
  3. Step 3: Cross multiply
    845.05x = 1,165.10 × 646.12
  4. Step 4: Simplify right side
    845.05x = 752,794.41
  5. Step 5: Solve for x
    x = 752,794.41/845.05
  6. Step 6: Final answer
    x = 890.83

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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.