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Finding the Fourth Proportional to 1,066.19, 1,599.72 and 472.90

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Solution

The fourth proportional to 1,066.19, 1,599.72 and 472.90 is: 709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.19 : 1,599.72 = 472.90 : x
  2. Step 2: Convert to fraction form
    1,066.19/1,599.72 = 472.90/x
  3. Step 3: Cross multiply
    1,066.19x = 1,599.72 × 472.90
  4. Step 4: Simplify right side
    1,066.19x = 756,507.59
  5. Step 5: Solve for x
    x = 756,507.59/1,066.19
  6. Step 6: Final answer
    x = 709.54

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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.