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Finding the Fourth Proportional to 1,006.75, 1,389.33 and 613.69

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Solution

The fourth proportional to 1,006.75, 1,389.33 and 613.69 is: 846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.75 : 1,389.33 = 613.69 : x
  2. Step 2: Convert to fraction form
    1,006.75/1,389.33 = 613.69/x
  3. Step 3: Cross multiply
    1,006.75x = 1,389.33 × 613.69
  4. Step 4: Simplify right side
    1,006.75x = 852,617.93
  5. Step 5: Solve for x
    x = 852,617.93/1,006.75
  6. Step 6: Final answer
    x = 846.90

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1.5x scale

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.