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Finding the Fourth Proportional to 1,028.14, 1,534.31 and 890.98

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Solution

The fourth proportional to 1,028.14, 1,534.31 and 890.98 is: 1,329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.14 : 1,534.31 = 890.98 : x
  2. Step 2: Convert to fraction form
    1,028.14/1,534.31 = 890.98/x
  3. Step 3: Cross multiply
    1,028.14x = 1,534.31 × 890.98
  4. Step 4: Simplify right side
    1,028.14x = 1,367,039.52
  5. Step 5: Solve for x
    x = 1,367,039.52/1,028.14
  6. Step 6: Final answer
    x = 1,329.62

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.