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Finding the Fourth Proportional to 1,045.64, 1,567.82 and 396.21

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Solution

The fourth proportional to 1,045.64, 1,567.82 and 396.21 is: 594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.64 : 1,567.82 = 396.21 : x
  2. Step 2: Convert to fraction form
    1,045.64/1,567.82 = 396.21/x
  3. Step 3: Cross multiply
    1,045.64x = 1,567.82 × 396.21
  4. Step 4: Simplify right side
    1,045.64x = 621,183.98
  5. Step 5: Solve for x
    x = 621,183.98/1,045.64
  6. Step 6: Final answer
    x = 594.07

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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.