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Finding the Fourth Proportional to 930.62, 1,283.81 and 665.12

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Solution

The fourth proportional to 930.62, 1,283.81 and 665.12 is: 917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.62 : 1,283.81 = 665.12 : x
  2. Step 2: Convert to fraction form
    930.62/1,283.81 = 665.12/x
  3. Step 3: Cross multiply
    930.62x = 1,283.81 × 665.12
  4. Step 4: Simplify right side
    930.62x = 853,887.71
  5. Step 5: Solve for x
    x = 853,887.71/930.62
  6. Step 6: Final answer
    x = 917.55

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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.