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Finding the Fourth Proportional to 1,052.86, 1,579.49 and 436.23

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Solution

The fourth proportional to 1,052.86, 1,579.49 and 436.23 is: 654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.86 : 1,579.49 = 436.23 : x
  2. Step 2: Convert to fraction form
    1,052.86/1,579.49 = 436.23/x
  3. Step 3: Cross multiply
    1,052.86x = 1,579.49 × 436.23
  4. Step 4: Simplify right side
    1,052.86x = 689,020.92
  5. Step 5: Solve for x
    x = 689,020.92/1,052.86
  6. Step 6: Final answer
    x = 654.43

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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.