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Finding the Fourth Proportional to 1,006.74, 1,389.38 and 558.65

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Solution

The fourth proportional to 1,006.74, 1,389.38 and 558.65 is: 770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.74 : 1,389.38 = 558.65 : x
  2. Step 2: Convert to fraction form
    1,006.74/1,389.38 = 558.65/x
  3. Step 3: Cross multiply
    1,006.74x = 1,389.38 × 558.65
  4. Step 4: Simplify right side
    1,006.74x = 776,177.14
  5. Step 5: Solve for x
    x = 776,177.14/1,006.74
  6. Step 6: Final answer
    x = 770.98

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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.