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Finding the Fourth Proportional to 1,030.99, 1,546.27 and 381.57

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Solution

The fourth proportional to 1,030.99, 1,546.27 and 381.57 is: 572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.99 : 1,546.27 = 381.57 : x
  2. Step 2: Convert to fraction form
    1,030.99/1,546.27 = 381.57/x
  3. Step 3: Cross multiply
    1,030.99x = 1,546.27 × 381.57
  4. Step 4: Simplify right side
    1,030.99x = 590,010.24
  5. Step 5: Solve for x
    x = 590,010.24/1,030.99
  6. Step 6: Final answer
    x = 572.28

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.