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Finding the Fourth Proportional to 1,385.34, 2,078.52 and 655.03

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Solution

The fourth proportional to 1,385.34, 2,078.52 and 655.03 is: 982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.34 : 2,078.52 = 655.03 : x
  2. Step 2: Convert to fraction form
    1,385.34/2,078.52 = 655.03/x
  3. Step 3: Cross multiply
    1,385.34x = 2,078.52 × 655.03
  4. Step 4: Simplify right side
    1,385.34x = 1,361,492.96
  5. Step 5: Solve for x
    x = 1,361,492.96/1,385.34
  6. Step 6: Final answer
    x = 982.79

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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.