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Finding the Fourth Proportional to 838.92, 1,158.10 and 665.16

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Solution

The fourth proportional to 838.92, 1,158.10 and 665.16 is: 918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.92 : 1,158.10 = 665.16 : x
  2. Step 2: Convert to fraction form
    838.92/1,158.10 = 665.16/x
  3. Step 3: Cross multiply
    838.92x = 1,158.10 × 665.16
  4. Step 4: Simplify right side
    838.92x = 770,321.80
  5. Step 5: Solve for x
    x = 770,321.80/838.92
  6. Step 6: Final answer
    x = 918.23

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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.