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Finding the Fourth Proportional to 1,524.87, 2,290.43 and 1,005.62

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Solution

The fourth proportional to 1,524.87, 2,290.43 and 1,005.62 is: 1,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.87 : 2,290.43 = 1,005.62 : x
  2. Step 2: Convert to fraction form
    1,524.87/2,290.43 = 1,005.62/x
  3. Step 3: Cross multiply
    1,524.87x = 2,290.43 × 1,005.62
  4. Step 4: Simplify right side
    1,524.87x = 2,303,302.22
  5. Step 5: Solve for x
    x = 2,303,302.22/1,524.87
  6. Step 6: Final answer
    x = 1,510.49

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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.