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Finding the Fourth Proportional to 1,385.62, 2,078.70 and 655.27

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Solution

The fourth proportional to 1,385.62, 2,078.70 and 655.27 is: 983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.62 : 2,078.70 = 655.27 : x
  2. Step 2: Convert to fraction form
    1,385.62/2,078.70 = 655.27/x
  3. Step 3: Cross multiply
    1,385.62x = 2,078.70 × 655.27
  4. Step 4: Simplify right side
    1,385.62x = 1,362,109.75
  5. Step 5: Solve for x
    x = 1,362,109.75/1,385.62
  6. Step 6: Final answer
    x = 983.03

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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.