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Finding the Fourth Proportional to 1,523.54, 2,285.40 and 483.58

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Solution

The fourth proportional to 1,523.54, 2,285.40 and 483.58 is: 725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.54 : 2,285.40 = 483.58 : x
  2. Step 2: Convert to fraction form
    1,523.54/2,285.40 = 483.58/x
  3. Step 3: Cross multiply
    1,523.54x = 2,285.40 × 483.58
  4. Step 4: Simplify right side
    1,523.54x = 1,105,173.73
  5. Step 5: Solve for x
    x = 1,105,173.73/1,523.54
  6. Step 6: Final answer
    x = 725.40

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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.