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Finding the Fourth Proportional to 1,000.66, 1,380.78 and 558.58

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Solution

The fourth proportional to 1,000.66, 1,380.78 and 558.58 is: 770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.66 : 1,380.78 = 558.58 : x
  2. Step 2: Convert to fraction form
    1,000.66/1,380.78 = 558.58/x
  3. Step 3: Cross multiply
    1,000.66x = 1,380.78 × 558.58
  4. Step 4: Simplify right side
    1,000.66x = 771,272.64
  5. Step 5: Solve for x
    x = 771,272.64/1,000.66
  6. Step 6: Final answer
    x = 770.77

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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.