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Finding the Fourth Proportional to 1,084.55, 1,626.45 and 353.94

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Solution

The fourth proportional to 1,084.55, 1,626.45 and 353.94 is: 530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.55 : 1,626.45 = 353.94 : x
  2. Step 2: Convert to fraction form
    1,084.55/1,626.45 = 353.94/x
  3. Step 3: Cross multiply
    1,084.55x = 1,626.45 × 353.94
  4. Step 4: Simplify right side
    1,084.55x = 575,663.94
  5. Step 5: Solve for x
    x = 575,663.94/1,084.55
  6. Step 6: Final answer
    x = 530.79

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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.