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Finding the Fourth Proportional to 845.53, 1,164.71 and 705.60

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Solution

The fourth proportional to 845.53, 1,164.71 and 705.60 is: 971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.53 : 1,164.71 = 705.60 : x
  2. Step 2: Convert to fraction form
    845.53/1,164.71 = 705.60/x
  3. Step 3: Cross multiply
    845.53x = 1,164.71 × 705.60
  4. Step 4: Simplify right side
    845.53x = 821,819.38
  5. Step 5: Solve for x
    x = 821,819.38/845.53
  6. Step 6: Final answer
    x = 971.96

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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.