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Finding the Fourth Proportional to 1,006.75, 1,389.28 and 608.51

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Solution

The fourth proportional to 1,006.75, 1,389.28 and 608.51 is: 839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.75 : 1,389.28 = 608.51 : x
  2. Step 2: Convert to fraction form
    1,006.75/1,389.28 = 608.51/x
  3. Step 3: Cross multiply
    1,006.75x = 1,389.28 × 608.51
  4. Step 4: Simplify right side
    1,006.75x = 845,392.15
  5. Step 5: Solve for x
    x = 845,392.15/1,006.75
  6. Step 6: Final answer
    x = 839.72

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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.