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Finding the Fourth Proportional to 1,450.63, 2,175.95 and 476.79

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Solution

The fourth proportional to 1,450.63, 2,175.95 and 476.79 is: 715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.63 : 2,175.95 = 476.79 : x
  2. Step 2: Convert to fraction form
    1,450.63/2,175.95 = 476.79/x
  3. Step 3: Cross multiply
    1,450.63x = 2,175.95 × 476.79
  4. Step 4: Simplify right side
    1,450.63x = 1,037,471.20
  5. Step 5: Solve for x
    x = 1,037,471.20/1,450.63
  6. Step 6: Final answer
    x = 715.19

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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.