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Finding the Fourth Proportional to 1,283.16, 1,770.76 and 693.69

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Solution

The fourth proportional to 1,283.16, 1,770.76 and 693.69 is: 957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.16 : 1,770.76 = 693.69 : x
  2. Step 2: Convert to fraction form
    1,283.16/1,770.76 = 693.69/x
  3. Step 3: Cross multiply
    1,283.16x = 1,770.76 × 693.69
  4. Step 4: Simplify right side
    1,283.16x = 1,228,365.14
  5. Step 5: Solve for x
    x = 1,228,365.14/1,283.16
  6. Step 6: Final answer
    x = 957.30

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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.