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Finding the Fourth Proportional to 1,046.10, 1,567.02 and 839.55

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Solution

The fourth proportional to 1,046.10, 1,567.02 and 839.55 is: 1,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.10 : 1,567.02 = 839.55 : x
  2. Step 2: Convert to fraction form
    1,046.10/1,567.02 = 839.55/x
  3. Step 3: Cross multiply
    1,046.10x = 1,567.02 × 839.55
  4. Step 4: Simplify right side
    1,046.10x = 1,315,591.64
  5. Step 5: Solve for x
    x = 1,315,591.64/1,046.10
  6. Step 6: Final answer
    x = 1,257.62

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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.