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Finding the Fourth Proportional to 1,006.46, 1,388.99 and 613.43

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Solution

The fourth proportional to 1,006.46, 1,388.99 and 613.43 is: 846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.46 : 1,388.99 = 613.43 : x
  2. Step 2: Convert to fraction form
    1,006.46/1,388.99 = 613.43/x
  3. Step 3: Cross multiply
    1,006.46x = 1,388.99 × 613.43
  4. Step 4: Simplify right side
    1,006.46x = 852,045.07
  5. Step 5: Solve for x
    x = 852,045.07/1,006.46
  6. Step 6: Final answer
    x = 846.58

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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.