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Finding the Fourth Proportional to 1,006.65, 1,389.54 and 633.78

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Solution

The fourth proportional to 1,006.65, 1,389.54 and 633.78 is: 874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.65 : 1,389.54 = 633.78 : x
  2. Step 2: Convert to fraction form
    1,006.65/1,389.54 = 633.78/x
  3. Step 3: Cross multiply
    1,006.65x = 1,389.54 × 633.78
  4. Step 4: Simplify right side
    1,006.65x = 880,662.66
  5. Step 5: Solve for x
    x = 880,662.66/1,006.65
  6. Step 6: Final answer
    x = 874.84

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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.