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Finding the Fourth Proportional to 1,012.03, 1,518.03 and 524.80

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Solution

The fourth proportional to 1,012.03, 1,518.03 and 524.80 is: 787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.03 : 1,518.03 = 524.80 : x
  2. Step 2: Convert to fraction form
    1,012.03/1,518.03 = 524.80/x
  3. Step 3: Cross multiply
    1,012.03x = 1,518.03 × 524.80
  4. Step 4: Simplify right side
    1,012.03x = 796,662.14
  5. Step 5: Solve for x
    x = 796,662.14/1,012.03
  6. Step 6: Final answer
    x = 787.19

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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.