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Finding the Fourth Proportional to 1,006.60, 1,389.09 and 558.43

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Solution

The fourth proportional to 1,006.60, 1,389.09 and 558.43 is: 770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.60 : 1,389.09 = 558.43 : x
  2. Step 2: Convert to fraction form
    1,006.60/1,389.09 = 558.43/x
  3. Step 3: Cross multiply
    1,006.60x = 1,389.09 × 558.43
  4. Step 4: Simplify right side
    1,006.60x = 775,709.53
  5. Step 5: Solve for x
    x = 775,709.53/1,006.60
  6. Step 6: Final answer
    x = 770.62

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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.