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Finding the Fourth Proportional to 1,385.64, 2,078.33 and 564.57

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Solution

The fourth proportional to 1,385.64, 2,078.33 and 564.57 is: 846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.64 : 2,078.33 = 564.57 : x
  2. Step 2: Convert to fraction form
    1,385.64/2,078.33 = 564.57/x
  3. Step 3: Cross multiply
    1,385.64x = 2,078.33 × 564.57
  4. Step 4: Simplify right side
    1,385.64x = 1,173,359.95
  5. Step 5: Solve for x
    x = 1,173,359.95/1,385.64
  6. Step 6: Final answer
    x = 846.80

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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.