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Finding the Fourth Proportional to 1,000.64, 1,380.75 and 558.47

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Solution

The fourth proportional to 1,000.64, 1,380.75 and 558.47 is: 770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.64 : 1,380.75 = 558.47 : x
  2. Step 2: Convert to fraction form
    1,000.64/1,380.75 = 558.47/x
  3. Step 3: Cross multiply
    1,000.64x = 1,380.75 × 558.47
  4. Step 4: Simplify right side
    1,000.64x = 771,107.45
  5. Step 5: Solve for x
    x = 771,107.45/1,000.64
  6. Step 6: Final answer
    x = 770.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.