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Finding the Fourth Proportional to 1,034.75, 1,428.33 and 685.55

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Solution

The fourth proportional to 1,034.75, 1,428.33 and 685.55 is: 946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.75 : 1,428.33 = 685.55 : x
  2. Step 2: Convert to fraction form
    1,034.75/1,428.33 = 685.55/x
  3. Step 3: Cross multiply
    1,034.75x = 1,428.33 × 685.55
  4. Step 4: Simplify right side
    1,034.75x = 979,191.63
  5. Step 5: Solve for x
    x = 979,191.63/1,034.75
  6. Step 6: Final answer
    x = 946.31

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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.