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Finding the Fourth Proportional to 1,012.64, 1,518.96 and 464.75

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Solution

The fourth proportional to 1,012.64, 1,518.96 and 464.75 is: 697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.64 : 1,518.96 = 464.75 : x
  2. Step 2: Convert to fraction form
    1,012.64/1,518.96 = 464.75/x
  3. Step 3: Cross multiply
    1,012.64x = 1,518.96 × 464.75
  4. Step 4: Simplify right side
    1,012.64x = 705,936.66
  5. Step 5: Solve for x
    x = 705,936.66/1,012.64
  6. Step 6: Final answer
    x = 697.13

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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.