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Finding the Fourth Proportional to 1,012.39, 1,519.16 and 464.57

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Solution

The fourth proportional to 1,012.39, 1,519.16 and 464.57 is: 697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.39 : 1,519.16 = 464.57 : x
  2. Step 2: Convert to fraction form
    1,012.39/1,519.16 = 464.57/x
  3. Step 3: Cross multiply
    1,012.39x = 1,519.16 × 464.57
  4. Step 4: Simplify right side
    1,012.39x = 705,756.16
  5. Step 5: Solve for x
    x = 705,756.16/1,012.39
  6. Step 6: Final answer
    x = 697.12

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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.