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Finding the Fourth Proportional to 1,012.45, 1,519.35 and 464.35

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Solution

The fourth proportional to 1,012.45, 1,519.35 and 464.35 is: 696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.45 : 1,519.35 = 464.35 : x
  2. Step 2: Convert to fraction form
    1,012.45/1,519.35 = 464.35/x
  3. Step 3: Cross multiply
    1,012.45x = 1,519.35 × 464.35
  4. Step 4: Simplify right side
    1,012.45x = 705,510.17
  5. Step 5: Solve for x
    x = 705,510.17/1,012.45
  6. Step 6: Final answer
    x = 696.83

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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.